Question

Solve this system of equations using elimination (Show your work) 3x + 6y = 18; 3x + y = - 7

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations using elimination, we need to eliminate one of the variables so we can solve for the other variable.

First, let's write down the two equations given:

1) 3x + 6y = 18
2) 3x + y = -7

We can eliminate x by subtracting the second equation from the first equation.

(3x + 6y) - (3x + y) = 18 - (-7)
3x - 3x + 6y - y = 18 + 7
5y = 25
y = 5

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the second equation:

3x + y = -7
3x + 5 = -7
3x = -12
x = -4

Therefore, the solution to the system of equations is x = -4 and y = 5.