–3x − 6y = –6 –2x − y = –10

Answer 1

To solve the given system of equations, we can use the method of substitution or elimination. I will use the method of substitution.

First, let's solve the second equation for y:
-2x - y = -10
-y = -10 + 2x
y = 10 - 2x

Now, substitute this value of y into the first equation:
-3x - 6y = -6
-3x - 6(10 - 2x) = -6
-3x - 60 + 12x = -6
9x - 60 = -6
9x = -6 + 60
9x = 54
x = 54/9
x = 6

Now substitute this value of x back into the second equation to find y:
-2x - y = -10
-2(6) - y = -10
-12 - y = -10
-y = -10 + 12
-y = 2
y = -2

Therefore, the solution to the system of equations is x = 6 and y = -2.