5x+3y=18 and 3x-3y=15 solve for y and x using elimination method

Answers

Answer 1

Answer:

x = 4.125 or [tex]4\frac{1}{8}[/tex]

y = -0.875 or [tex]-\frac{7}{8}[/tex]

Step-by-step explanation:

5x + 3y = 18

3x - 3y = 15

3y and -3y can be cancled out becuase + and - cancel out and they both have 3y in them. We don't have to switch any signs in this case. You can just add them all exept 3y and -3y becuase they will be canceled out.

8x = 33

x = 4.125

Now we know what x is. We need to figure out what y is now. To figure out y chose an equation from the problem and plug in the x value. Lets chose 3x - 3y = 15.

3(4.125) - 3y = 15

12.375 - 3y = 15

-3y = 2.625

y = -0.875

Now we know what y is.  I hope this helps :)


Related Questions

if you reflect any shape across the x-axis and then rotate it 180 degrees about the origin, do you get the same result that you would if you reflect it across the y-axis and then rotate it 180 degress about the orgin? what does that mean?

Answers

Answer: No the finished shapes would be in different quadrants

Step-by-step explanation:

Find slope of the line.

Answers

Y=4 and X=5

Please correct me if I am wrong!

It should be -4/5 I think

hehe please help with this question

Answers

Answer:

it is the first option choice -$24.00

Step-by-step explanation:

Nate's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Nate's curtain company wants to make 71 curtains, how many feet of fabric will he need?

Answers

36 inches is equal to 3 feet. He would multiply the length of each curtains (3ft) by the amount of curtains he needs(71) he would need 213 feet of fabric

You have 18 stamps from Mexico in your stamp collection. These stamps represent 38 of your collection. The rest of the stamps are from the United States. How many stamps are from the United States?

Answers

It’s 20, 38-18=20 so yea:)

A coach is ordering shirts for a team.



• The coach pays a one-time fee of $24.

• The coach also pays $8 for each shirt ordered.



Which function can be used to find c, the total amount the coach pays in dollars when k shirts are ordered?

Answers

Answer:

C=8k+24

Step-by-step explanation:

Answer:

24+8k=c

Step-by-step explanation:

Because he paid $24 but then he paid $8 per shirt but we don't know how many shirts he bought so that is where c comes in. K is the variable that gives us the full amount he paid for the one-time fee and the shirts all together.

What is the scale factor of this dilation?

Triangle A B C. Side A C is 8, C B is 10, A B is 6. Triangle A prime B prime C prime. Side A prime C prime is 4, C prime B prime is 5, B prime A prime is 3.
1/5
1/2
1
2
i need help please

Answers

Answer:

1/2 or 2

Step-by-step explanation:

If the original triangle length of Side A to C is 4, then the answer is two. If the original traingle length is Side A to C on the original triangle is 8, then the answer is 1/2.

The scale factor of the dilation is 1/2.

What is scale factor?

Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object. The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given:

Before dilation

AC= 8, BC= 10 abd AB= 6

After dilation

AC= 4, BC= 5 and AB= 3

Now, scale factor

Scale factor = Dimensions of the new shape / Dimensions of the original shape.

So,

scale factor = 4/8  or 5/10  or  3/6 = 1/2

Hence, the scale factor is 1/2.

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Amanda creates jewelry for a living. For smaller pieces, Amanda spends $0.85 on supplies, and for larger pieces she spends $1.74 on supplies. If Amanda sells 23 small pieces of jewelry for $8.50 each and 19 large pieces of jewelry for $18.50 each, what is her total profit?

Answers

$25.61 BIG BRAIN GAME

Answer:

$18.50 Because if you have $18.50 and you divide it by 19 you will get $18.50. Hope that helps a bit.

Step-by-step explanation:

Rapid Rental Car charges a $45 rental fee, $15 for gas, and $0.75 per mile driven. For the same car, Capital
Cars charges $40 for rental and gas and $0.85 per mile.
Part 1 out of 2
For how many miles is the rental cost at both companies the same?
The rental costs at both companies are the same at|
Check
miles.

Answers

Your total cost will be 80

at 100 miles the costs are the same

find the difference PLSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

-1 5/9

Step-by-step explanation:

so first, simplify the signs so they don’t confuse you,

-5/6 - 17/18 + 2/9 (Since there are two negatives near the end, and their tecxhnically being mulitplied, -2/9*-1 (I added 1 for place holder) and when you multiply a negatives by a negative, you get a positive.

So find the lcm of the denominators which is 18 in this case

-15/18 - 17/18 + 4/18

Now solve the problem from left to right

you’ll get -1 5/9 if you simplified

-1 5/9 that’s he difference xx welcome

>>>>>>>>>>>>>>>>>>>>>>>>>>>>....

Answers

Answer:

The first one is $1.19 for each balloon.

Second one is 7 months.

Step-by-step explanation:

1. 19.63 - 12.49 = 7.14 < (the cost of all six balloons) 7.14 divided by 6 = $1.19

2. 1,250 - 65 = 1,185 - 65 = 1,120 - 65 = 1,055 - 65 = 990 - 65 = 925 - 65 = 860 - 65 = 795    You had to subtract 65 each month 7 times to get less then 800.

Hope this helps!! <3 I miss easy math :,(

The figure shows three quadrilaterals on a coordinate grid:

A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1.

Which of the following statements is true about the three quadrilaterals?

E and F are similar but not congruent.
E and G are similar but not congruent.
G and F are similar and also congruent.
E and G are similar and also congruent.

Answers

Answer:

E and G are similar but not congruent.

Step-by-step explanation: I don't really know how to explain this but I am positive this is the answer.

E and g are the similar

A block of clay contains twenty 4 - ounce portions of clay. Ceramics teacher wants to use the block to make as many spheres of clay as possible. Each weighing ⅖ pound. How Many spheres can the class make

Answers

Answer:

12.5

Step-by-step explanation:

20 x 4 = 80

80 ÷ 16 = 5

5 ÷ 2/5 = 12.5

Using 24 ounce portions of clay, maximum they can make 3 spheres.

Given that, a block of clay contains 24 ounce portions of clay.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 pound = 16 ounces

So, 1 ounce = 1/16 pound

Then 24 ounce = 24/16

= 1.5 pound

Here, each sphere of clay weighing 2/5 = 0.4 pounds

Number of spheres = 1.5/0.4

= 3.75

Maximum 3 spheres

Therefore, using 24 ounce portions of clay, maximum they can make 3 spheres.

To learn more about the metric conversion visit:

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A farmer says that for every row of tomato seeds he plants, he can harvest 6.5 bushels of tomatoes. The farmer needs to harvest at least 52 bushels of tomatoes. What is the least number of rows of tomato seeds that the farmer will need to plant?

Answers

Answer:

8 rows

Step-by-step explanation:

The answer is 8 because 52 divided by 6.5 is 8

The least number of rows of tomato seeds that the farmer needs to plant is 8 row.

Given that, a farmer says that for every row of tomato seeds he plants, he can harvest 6.5 bushels of tomatoes.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The farmer needs to harvest at least 52 bushels of tomatoes.

The number of rows of tomato seeds need to plant = 52/6.5

= 8

Therefore, the least number of rows of tomato seeds that the farmer needs to plant is 8 row.

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in standard form given a slope -2/3 and the point (2,2)

Answers

Answer:

-2x+6

Step-by-step explanation:

hope that help's

Answer:

-2x+6

Step-by-step explanation:

I NEED HELP ASAP PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

the radius of venues is not that big!!

Answer: it small a little to read but 5 and 6 is the answer right

Step-by-step explanation: is this help

Help me if you can it would be so helpful

Answers

Answer:135.80

Step-by-step explanation:

Find 40 percent of 97 then have an answer of 135.8 and add an zero because it’s money

Answer: $38.80


Multiply .4 by 97

This equals 38.80


The final cost of the sofa is 97-38.80= 58.20

HELP ILL GIVE BRAINLIEST I NEED IT ASAP
I NEED THESE 2 QUESTIONS

Answers

Y=3+4x
I can’t see the second one but this is the answer to number 7

Answer:

7. Y=3+4x

I cant see #8 sorry.

hope this help have a good day

four times a number x is at least -12
an inequality is ?
the solution is ?

Answers

Answer:

-16

Step-by-step explanation:

im just taking a guess.

x+4>-12

  -4   -4

---------------

4's cancel out and -12+-4=-16

Again this is just a guess.

The inequality is 4x ≥ -12 and the solution of this inequality is x ≥ -3.

What are Inequalities?

Inequalities are the expressions having two sides connected with inequality symbols. Inequality symbols are <, >, ≤, ≥ and ≠. They may contain one or more variables and constants.

Inequalities which consist of one or more variables with the highest degree of the variables being 1 is called Linear inequalities.

Given that four times a number is at least -12.

Thus the inequality says that 4 multiplied with a number x, which is 4x has values -12 or greater than -12.

So the inequality is 4x ≥ -12.

Solving this,

4x ≥ -12

Dividing both sides by 4, we get,

4x/4 ≥ -12/4

x ≥ -3

Hence the inequality is 4x ≥ -12 and the solution is x ≥ -3.

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Help asap-----------------------------------------------

Answers

Answer:

84

Step-by-step explanation:

4x7x3 :D

(if im wrong please correct me)

84 I’m pretty sure I did this on a test

Solve these questions. Pls show your work.

Answers

I solved it but don’t know how to show my work

Answer:

I cant see the pic owo

Step-by-step explanation:

Joy’s grandmother cans homemade applesauce around the holidays to raise money for the local foodbank. She earns a profit of $2.79 for each jar she sells.

Answers

what’s the second half?

What was the first error that Andrea made?
O Andrea used the reciprocal of the slope.
Andrea made a computational error when she simplified m.
Andrea substituted incorrectly when she solved for b.
Andrea made a sign error when she solved for b.

Answers

It’s Y-61=6712 • (x-48)

Answer:

B.

Step-by-step explanation:

There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would the second ratio of the proportion look like if the first proportion is as follows?

Answers

Answer:

8 adults

Step-by-step explanation:

24 / 3 = 8

Answer:

\frac{Students}{Adults}  

3 students and 1 adult - [tex] \frac{3}{1}

24 students and x adults - [tex]\frac{24}{x}

After solving the answer is 8 adults to 24 kids

Hope this helps:)

Step-by-step explanation:

Need help with this.

Answers

Slope is -1
Y intercept 3
X Intercept 4
Sorry I do t know the others
Haven’t gone over that

Hope this helps
Everything they said is correct ^^

Mallory takes out a loan for $30,000 for a new car. If the bank charges 5.4% interest, how much interest will she pay in 5 years?

Answers

Answer:

27

Step-by-step explanation:

Answer:

She will take 0 interest because she stole her new car and drove it across the globe.

i will mark brainly and please please please help help..How does the amount of a rocket’s thrust affect its trajectory?

Answers

Answer:

I'd say, the more thrust it has the longer its trajectory will be.

Step-by-step explanation:

Answer:

The relative magnitude and direction of the forces determines the flight trajectory of the rocket. At launch, the thrust of the rocket engine is greater than the weight of the rocket and the net force accelerates the rocket away from the pad. Unlike full scale rockets, model rockets rely on aerodynamics for stability. I hope that helps.

Step-by-step explanation:

the world’s longest river is the Nile in Africa, with a length of 6825km. this is about 1 5/8 times as long as the Mackenzie river, which is Canada’s longest river. how long is the Mackenzie river? the Mackenzie is abt 2 1/10 times as long as the Columbia river. how long is the Columbia?

Answers

Answer:

(1,080 mi) long

Step-by-step explanation:

The Mackenzie River is a river in the Canadian boreal forest. It is the longest river system in ... Basin size, 1,805,200 km2 (697,000 sq mi) ... The river's main stem is 1,738 kilometres (1,080 mi) long, flowing north-northwest from Great ... of the Mackenzie River is Thutade Lake, in the Northern Interior of British Columbia.

help me again. i need help. thx 4 helping

Answers

Answer:

16 square units

Step-by-step explanation:

The formula for the area of a right triangle is ab/2 (a and b both being legs).

First, we find the legs' length which is MK and JK.

Since both points J and K are on the same y level, we look at the X coordinates and see how far apart they are.

Since both points M and K are on the same x level, we look at the Y coordinate.

M is 4 points away from K, so the leg MK is 4 units long.

J is 8 points away from K, so the leg JK is 8 units long.

Plug this into the formula and we get

[tex]\frac{4*8}{2}[/tex]

[tex]\frac{32}{2} = 16[/tex]

The surf shop orders 8 life vests for every 6 goggles .if 39 pairs of goggles are ordered, how many life jackets should be ordered.

Answers

39/6 = 6.5
6.5 x 8 = 52
The answer is 52

Answer:

104

Step-by-step explanation:

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