Try it
Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?

Answers

Answer 1

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15


Related Questions

PLEASE HELP
ILL GIVE BRAINLIEST

Answers

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

What is 837 divided by 27

Answers

Answer: 31

Step-by-step explanation: long division

837/27 equals 31, you can solve this by long division or using a calculator lol

A lumber supplier sells 96-inch pieces of oak. Each piece must be within ¼ of an inch of 96 inches. Write and solve an inequality to show acceptable lengths.

Answers

Answer:

[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]

Step-by-step explanation:

Given that a lumber supplier sells 96 inch Pieces of oak which must be within 1/4 of an inch.

This situation can be represented by the following absolute value inequality:

[tex]|x \: - 96| \: \leqslant \: \frac{1}{4} [/tex].

The absolute value can be thought of as the size of something because length cannot be negative. The length must be no more than 1/4 away from 96.

To simplify this, pretend this is a standard equality, |x-96| = 1/4. 1/4 is the range of acceptable length, 96 is the median of the range, and x is the size of the wood.

First apply the rule |x| = y → x = [tex]\pm[/tex]y

|x-96| = 1/4

x - 96 = [tex]\pm[/tex]1/4

x = [tex]96 \pm 1/4[/tex]

(These are just the minimum, and maximum sizes)

Now with a less than or equal to, the solutions are now everything included between these two values.

Therefore:

[tex]96 - 1/4 \: \leqslant x [/tex] [tex]\leqslant \: 96 + 1/4 [/tex]

With less than inequalities, you must have the lower value on the left, and the higher value on the right.

If x represents the size of the pieces, then the acceptable lengths are represented by this following inequality:

[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]

This is interpreted as x (being the size of the oak) is greater than or equal to 95 3/4, and less than or equal to 96 1/4 in inches.


Solve -2(2x + 5) - 3 = -3(x - 1).

Answers

The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.

What is distributive property?

Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.

-2(2x + 5) - 3 = -3(x - 1)

To solve this equation, we need to first use the distributive property to expand the left side of the equation.

We have:

-4x-10-3 = -3(x - 1)

-4x-13 = -3(x - 1)

Now, we can group the like terms on the left side and the right side of the equation.

On the left side, we have -4x - 13 and on the right side, we have -3x + 3.

-4x-13 = -3x + 3

To solve for x, we can add 3x to left side of the equation and add 13 to the right side.

This results in the equation:

-4x+ 3x  = 13 + 3

Now, we can add 3x with -4x of the equation to isolate the x-term.

We have:

-x = 16

x = - 16

For more questions related to equation

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what is 2 times 4 time 2

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Explanation:

2 x 4 = 8

8 x 2 = 16

Pls answer fast Y=Mx+b for x

Answers

Answer:

y=mx+b

y=mx+b-b

y-b=mx

y-b/m = mx/m

y-b/m = x

Answer:

x = (y - b)/M.

Step-by-step explanation:

y = Mx + b

Mx = y - b

x = (y - b)/M.

A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.
a. How many pancakes can you make with 1 cup of flour?
b. How many pancakes can you make with 9 cups of flour?
C. Do you have enough to make 100 pancakes? Explain

Answers

Solution (a) :-

Quantity of flour needed to make 20 pancakes =

[tex] = 1 \frac{2}{3} \: [/tex]

[tex] = \frac{3 \times 1 + 2}{3} [/tex]

[tex] = \frac{5}{3} \: cups \: of \: flour[/tex]

Then , number of pancakes that can be made from 1 cup of floor :-

[tex]20 \div \frac{5}{3} [/tex]

[tex]20 \times \frac{3}{5} [/tex]

[tex] \frac{60}{5} [/tex]

[tex] = 12 \: pancakes[/tex] .

Therefore , 12 pancakes can be made from 1 cup of floor .

Solution (b) :-

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Solution (c) :-

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare

Answers

Answer:

elsa's interval width will be greater than that of frank

Step-by-step explanation:

first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.

now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.

from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.

If you roll a die once, what is the probability of rolling a 3?

Answers

Answer:

1/6

Step-by-step explanation:

there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6

Answer:

1/6

Step-by-step explanation: there are 6 incomes and 1 number 3 in a die

Question 1: A researcher wants to know about the average salary of all General Motors workers. The data can only be collected as whole US dollars. This data can be considered: * qualitative nominal qualitative ordinal quantitative discrete quantitative continuous Question 2: A researcher pla

Answers

Answer:

Quantitative Discrete

Step-by-step explanation:

The data about the average salary of all general motor workers cooled ONLY as WHOLE U. S DOLLARS

Firstly, data involving worker's salary are best expressed in figure, hence making such data numerical in nature. Numerical variables are quantitative data as it allows for numerical computation and analysis such as addition, subtraction, mean of the data values and so on.

Secondly, since these data has been strictly restricted to be expressed in whole numbers, this makes the range of the data collected finite and hence countable. This properties ensure that the quantitative data (average salary) is discrete in nature.

Please help!!
x^2-2x+1-9y^2

Answers

Answer:

[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]

Step-by-step explanation:

[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]

A little algebra process later...

you got the answer

Hoped this helped ya

<3

Red

Answer:

(x-1-3y) x (x-1+3y)

Step-by-step explanation:

x^2-2x+1-9y^2

Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2

(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y)  should be the answer :)

________ and ________ are two ways that substances pass through a cell membrane out of the cell. A Photosynthesis, diffusion B Diffusion, active transport C Active transport, mitosis D Photosynthesis, mitosis

Answers

Answer:

b. diffusion and active transport

Step-by-step explanation:

these are two ways that substances, like nutrients, pass through cell membranes.

Answer:

b

Step-by-step explanation:

(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)

Answers

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

What is the absolute value of 5,234?

Answers

Answer:

Step-by-step explanation:

5.234

1,032 divided by 10 to the 4th power​

Answers

Answer:

0.1032

Step-by-step explanation:

Answer:

25000

Step-by-step explanation:

10x10=100

100x10=1000

1000x10=10000

10000x10=100000

100000 divied by 4= 25000

3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.

Answers

Answer:

If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.

If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:

(-3)^2-4*2*12

=9-96

=-87

Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.

please I need a quick help ​

Answers

Answer:

x intercept (-2,0) y intercept (0,2)

Step-by-step explanation:

Answer:

I'm pretty sure these are the answers

x-intercept (-2,0)

y-intercept (0,2)

Explanation:

x-intercept: Is coordinates where the line hits the x-axis

y-intercept: Is coordinates where the line hits the y-axis

How many years will it take for Steven to make a total of $21,200?
(7 points)
12
8
6
10

Answers

the answer would be 10

Write the equation of the line:
(0,3); slope -2

Answers

Answer:

y=-2x+3

Step-by-step explanation:

the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b

Pls mark as brainliest thank u.

Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?

To find the length of Bentley’s long run, you would use:

5 – 2.25

Question 1 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.

A common multiple is 180 true or false

Answers

Answer:

False

Step-by-step explanation:

if you subtract 19 from my number and multiply the difference by -2​, the result is -8

Answers

Answer:cool

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

let the number be 'a'

-2(a - 19)= -8

open the brackets

-2a + 38 = -8

collect like terms

38 + 8 = 2a

46 = 2a

a = 23

PLEASE HELP Please i don’t understand

Answers

Answer:

answer is 5

Step-by-step explanation:

f(5)= -5×5^2+26×5

= -125+130

= 5

HELP ASAP IT'S AN EMERGENCY​

Answers

AAS you have two angles and a side

Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?

Answers

Answer:

The number of tickets sold at the gate is [tex] G = 211.25[/tex]

The number of tickets sold in advance is  [tex]  A = 311.25 [/tex]

Step-by-step explanation:

From the question we are told that

 The cost of a tickets at the gate is [tex]a =  \$ 5[/tex]  

  The cost of a ticket in advance is  [tex]b =  \$ 3[/tex]

Let the number of ticket sold in the gate be G

Let the number of ticket sold in advance  be   A

From the question we are told that

  One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as

       [tex]G  +  100 =  A[/tex]

From the question we are told that

  The total revenue from ticket sales was $1990  and this can be mathematically represented as

    [tex]5 G  +  3A  =  1990[/tex]

substituting for  A in the equation above

    [tex]5 G  +  3[G  +  100]=  1990[/tex]    

    [tex]5 G  +  3G  +  300=  1990[/tex]    

    [tex] 8G  +  300=  1990[/tex]  

    [tex] 8G  =  1690[/tex]

=>  [tex] G = 211.25[/tex]

Substituting this for G in the above equation

     [tex]5 [211.25]  +  3A  =  1990[/tex]

=>    [tex]  3A  =  1990 - 1056.25[/tex]

=>    [tex]  A = 311.25 [/tex]

A dog-washing salon is filling up the tub to was a dog. When the employee got to the tub,
there were already 2 gallons of water in the tub. She will fill the tub at a rate of 3 gallons a
minute.

Answers

Answer:

If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.

The two rates would be 3:60 and 2:40 and so on 1:20

Step-by-step explanation:

Good luck! Hope this helps! <3

what is the pattern 2 10 40 120

Answers

Answer:

2 plus 3

Step-by-step explanation:

The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain












At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?

Show your work in the box below.








Answer _____________ price per gram of gold

Answers

Answer:

THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL

Step-by-step explanation:

Graph the line y-3=-1/3(x+2)

Answers

Slope: 1/2

y-intercept(s): (0, 7/3)

x: 0, 7

y: 7/3, 0

Step-by-step explanation:

y=-3 -1/3(1+2)=2/3.3=1.3=3

y=3

Which statement about residual plots is not true?

A. If there is an obvious pattern, the model is probably reasonable.

B. The vertical axis shows residuals.

C. The x-axis appears in the middle of the graph.

D. The sum of the residuals is 0.

Answers

Answer:

Step-by-step explanation:

d

Answer:

A

Step-by-step explanation:

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