What is the solution to the following system of equations?
3x - 6y = -12
x - 2y = -8

(1) Use the substitution method to justify that the given system of equations has no solution.
(2) What do you know about the two lines in this system of equations?

Answers

Answer 1

Answer:

1.) x=2y-4

2.) x=2y-4 :)

Answer 2

Answer:

[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]


Related Questions

A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?

Answers

Answer:

1

Step-by-step explanation:

Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one

What is the equation for the line in slope-intercept form?



Enter your answer in the box. _____

Answers

4

Step-by-step explanation:

so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.

On a recent trip, Miles drove 58 miles the first hour,64 miles the second hour.and 62 miles the final hour. Estimate the average number of miles he drove each hour

Answers

Answer:

60

Step-by-step explanation:

all of those rounded to the nearest ten is 60

HELP WHATS THE ANSWER

Answers

Answer:

The answer is 0, hope this helps

what is the quotient of 5 and 5 and 2 more​

Answers

Answer:

12

Step-by-step explanation:

i am not sure a just add 5 +5+2

Isabel wants to start saving more money so that she can purchase new clothes for college. She has $200 and will add $5 to her savings every day.

Which equation models Isabel's savings, where n represents each day?

Answers

Answer:

y = 5n + 200

Step-by-step explanation:

y = mx + b

$5 will be added every day, so 5 is the m and n is the x.

$200 is an extra cost that doesn't repeat, so it's the b.

Help plz 13. Mildred is flying a kite on a 30 m string. The angle of elevation of the kite measures 40 degrees,
and Mildred's hand is 2 m above the ground. About how high is the kite off the ground?
a. 21.3 m
c. 19.3 m
b. 25 m
d. 23 m

Answers

Answer: 21.3m

Step-by-step explanation:

The height of the kite of the ground would be calculated as:

We have to calculate the question using a right angled triangle that has angle ACB as 90° while angle CAB will be 40°.

Therefore, the height of the kite would be:

= 30 sin 40 + 2

= 30 (0.6428 ) + 2

= 19.284 + 2

= 21.284 m

= 21.3 m

Drag the phrases into the box to match each expression. 4x – 5 4 (x – 5) 4 ( x + 5) 5 less than the sum of 4 and a number 5 less than the product of 4 and a number the product of 4 and the difference of a number and 5 4 more than the sum of a number and 5 5 more than the product of 4 and a number the product of 4 and the sum of a number and 5 4 more than 5 less than a number

Answers

Answer:

4x – 5

4 (x – 5)

4 ( x + 5)

5 less than the sum of 4 and a number

5 less than the product of 4 and a number

the product of 4 and the difference of a number and 5

4 more than the sum of a number and 5

5 more than the product of 4 and a number

the product of 4 and the sum of a number and 5

4 more than 5 less than a number

2 + -30 - (-5) + 60 + (-75)

Answers

Answer:

-38

Step-by-step explanation:

distribute, mutiply and add

find the answer for 10 + 10

Answers

Answer:20

Step-by-step explanation:

A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500

Answers

i think i would know the answer to that

Jennifer needs 3 cups of sugar, 4 cups of flour, and one cup of brown sugar for a recipe she is making.

What is the ratio of brown sugar to sugar?

Answers

Answer:

the ratio is 1:3 for brown sugar to sugar

The mass of a textbook is 1.25 kg about how many pounds is this

Answers

Answer:

2.755778

Step-by-step explanation:

Just search how much pounds is 1.25 kg?

Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week

Answers

Answer:

15 3/4

Step-by-step explanation:

this is simple addition and subtraction

) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?

Answers

Answer:

huh can you put the whole question?

Step-by-step explanation:

Put all the answers

Step-by-step explanation:

Plz help with these 2 questions and thx !

Answers

Answer:

The first is 18.

The second is less than (<).

Step-by-step explanation:

Hope this helps <3

Answer:

1. 18

2. C

Step-by-step explanation:

1. 7/42=1/6 3•6=18

2. 3/7 is greater than 3/8

Evaluate the function.

g(x)=10x+3

g(19.6)=

Answers

Answer:

199

Step-by-step explanation:

plug in x=19.6, then

g(19.6) = 10 * 19.6 +3= 199

human activities have drastic effects on biomes match the human activities with the biomes they primarily ​

Answers

This is your perfect answer

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?
h(x) = -0.19x2
In what ways is the graph of h(x) different from the graph of the parent function? Select all that apply.

A. The graph of h(x) opens upward.
B. The graph of h(x) opens downward.
C.The graph of h(x) is narrower.
D. The graph of h(x) is wider.

Answers

9514 1404 393

Answer:

  B. The graph of h(x) opens downward.

  D. The graph of h(x) is wider.

Step-by-step explanation:

The negative leading coefficient causes the graph to be reflected across the x-axis, making it open downward.

The leading coefficient magnitude less than 1 compresses the graph vertically, giving it a wider appearance.

A ferris wheel
completes one
rotation in 495
seconds. How many
seconds will it take
to make 25
rotations?

Answers

Answer:

12375

Step-by-step explanation:

one rotation: 495

25 rotations x 495 seconds

12375  seconds

Answer:

12, 375

Step-by-step explanation:

Multiply

Factor the polynomial expression 16y4 − 256x12.

Answers

Step-by-step explanation:

Using Difference of Squares,

16y⁴ - 256x¹²

= 16(y⁴ - 16x¹²)

= 16(y² + 4x⁶)(y² - 4x⁶)

= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).

Step-by-step explanation:

16y4-256×12=16.(y4-16×12)

Please helppppppopppp

Answers

Answer:

a..

Step-by-step explanation:

22.758 to the nearest foot

Answers

23 feet is 22.758 to the nearest foot

Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)} O {(3,1),(-2,-9), (6,-9),(4,6)} o {(4,3), (-4,4),(-2,-5), (6,4)}​

Answers

Answer:

The first set of ordered pairs is not a function.

Step-by-step explanation:

The X value of 7 repeats, which means that it is not a function

Second, third and fourth set of ordered pairs does not represent a function so only the first one is a function.
This is because each x value has to has their distinct y value. So you notice all sets of ordered pairs except the first one, two different x-values have the common y-value, which cannot be happen.

Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction

If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.

Answers

Answer: The z-score = 2.46

Step-by-step explanation:

Given:  sample size : n= 10

Population mean : [tex]\mu= 29056[/tex]

population standard deviation : [tex]\sigma= 3339[/tex]

Sample mean : [tex]\overline{x} = 31650[/tex]

Formula to calculate z :

[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Substitute all values, we get

[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]

Hence, the z-score = 2.46

Hewo plz help can u answer
PUT A REAL ANSWER!!!!!!!!!!
5 pts.
175+8w≥425

Answers

Answer:

w≥31.25

Step-by-step explanation:

175+8w≥425

-175        -175

8w≥250

/8       /8

w≥31.25

Answer:

X is greater than or equal to 125/4

Step-by-step explanation:

Subtract 175 from both sides which will turn 425 into 250

Divide 8 from 8x to the other side to turn 250 into 125/4

In the end, you get X is greater or equal to 125/4

Paulina has a suitcase full of clothes that weighs 4
4
7pounds. Rebecca has a suitcase full of clothes that weighs
7
8of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?

Answers

Answer:

4 pounds

Step-by-step explanation:

Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs

7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?

Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds

Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase

Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds

= 7/8 × 32/7

= 4 pounds

Therefore, Rebecca's suitcase weighs 4 pounds.

Brian is n years old. How old will he be in 47 years?
Algebraic expression

Answers

Answer:

n + 47

Step-by-step explanation:

Let n = Brian's age now.

In 47 years, he'll be 47 years older than he is now.

In 47 years, Brian will by n + 47 years old.

Answer: n + 47

The age of Brian after 47 years will be n + 47.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Brian is n years old.

Then the age of Brian after 47 years will be given as,

⇒ n + 47

The age of Brian after 47 years will be n + 47.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

1
A. (f = g)(x) = 2 - 4
.
true or false

Answers

Answer:

=-2

Step-by-step explanation:

x=-(4-2)

Answer:

false

hope this helps

Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1

Answers

Plug in the numbers
2 = 3(2) - 4, true
-4 = 3(0) - 4, true
8 = 3(4) - 4, true
-1 = 3(-1) - 4, false

Solution: D
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