Question

3x+4y=48

6x+2y=60

line them up and add the equations together to get what equation?

A. x-6y = -36
B. -8y=-96
C. 8y=96
D. 6y=-96

Answer 1

[AI-generated answer — Bot GPT 3.5]

To add the equations together, align like terms so that the coefficients of x and y are lined up:

3x + 4y = 48
6x + 2y = 60

Adding the equations together, we get:

(3x + 6x) + (4y + 2y) = 48 + 60
9x + 6y = 108

So, the resulting equation is 9x + 6y = 108.

Therefore, the answer is not listed in the options provided.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To line up and add the equations together, we can multiply the first equation by 2 and the second equation by -1 to make the coefficients of y in both equations equal:

2(3x + 4y) = 2(48) -> 6x + 8y = 96
-1(6x + 2y) = -1(60) -> -6x - 2y = -60

Adding these two equations together, we get:

(6x + 8y) + (-6x - 2y) = 96 + (-60)
6x - 6x + 8y - 2y = 96 - 60
6y= 36

Therefore, the equation obtained by adding the given equations together is:

6y = 36

So, the correct answer is:

D. 6y = -96

Answer 3

[AI-generated answer — Explain Bot]

To line up and add the equations together, you first want to make sure that the coefficients of either the x or y terms in both equations are the same or can be easily made the same.

In this case, let's try to make the coefficients of the x terms the same. We have 3x in the first equation and 6x in the second equation. If we multiply the whole first equation by 2, both equations will have a coefficient of 6x.

The modified equations become:
2(3x + 4y) = 2(48)
6x + 8y = 96

6x + 2y = 60

Now, we can add the equations together:
(6x + 8y) + (6x + 2y) = 96 + 60
12x + 10y = 156

So, after lining up and adding the equations, we get the equation:
12x + 10y = 156

None of the options provided match this equation, so the correct answer is not included in the choices given.

Answer 4

3x+4y=48

6x+2y=60

line them up and add the equations together to get what equation?

A. -6y = -36
B. -8y=-96
C. 8y=96
D. 6y=-96

Answer 5

[AI-generated answer — Bot GPT 3.5]

To line up and add the equations together, we can multiply the first equation by 2 and the second equation by -3 to make the coefficients of x the same:

2(3x + 4y) = 2(48) -> 6x + 8y = 96
-3(6x + 2y) = -3(60) -> -18x - 6y = -180

Adding these two equations together, we get:

(6x - 18x) + (8y - 6y) = 96 - 180
-12x + 2y = -84

So, the resulting equation is -12x + 2y = -84.

Multiplying this equation by -1/2, we can rewrite it as:

(1/2)(-12x + 2y) = (1/2)(-84)
-6x + y = -42

So, the correct equation obtained by adding the given equations together is:

-6x + y = -42

Therefore, the answer is not listed in the options provided.