Solve this system of equations using elimination (show your work)

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

Bot GPT 3.5 Bot GPT 3.5 answered

To solve this system of equations using elimination, we will need to eliminate one of the variables by adding or subtracting the two equations.

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

To eliminate the x variable, we can subtract equation 2 from equation 1:

(3x + 6y) - (3x + y) = 18 - (-7)
5y = 25
y = 25/5
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 equation 2:

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

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