Solve this system of equations using elimination (Show your work).

Question

3x + 6y = 18
3x+3=-7

Answer 1

First, let's rewrite the system of equations:

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

Now, let's multiply equation 2 by -2 so the x coefficients are the same:

1. 3x + 6y = 18
2. -6x - 6 = 14

Now, add the two equations together:

3x + 6y - 6x + 6 = 18 + 14
-3x + 6 = 32
6 = 3x + 32
3x = -24
x = -8

Now that we have the value of x, we can substitute it back into one of the equations to solve for y:

3(-8) + 6y = 18
-24 + 6y = 18
6y = 42
y = 7

Therefore, the solution to the system of equations is x = -8 and y = 7.