Answer:
x = -29/3 and y = 11/3
Explanation:
5x + 8y = -27
3x + 3y = -18
We can use the method of substitution. Rearranging the second equation, we get:
3x + 3y = -18
3y = -3x - 18
y = -x - 6
We can substitute this expression for y into the first equation:
5x + 8(-x - 6) = -27
Simplifying, we get:
-3x - 56 = -27
Adding 56 to both sides, we get:
-3x = 29
Dividing by -3, we get:
x = -29/3
Now, we can substitute this value for x into either equation to solve for y. Using the second equation:
3x + 3y = -18
Substituting x = -29/3, we get:
3(-29/3) + 3y = -18
Simplifying, we get:
-29 + 3y = -18
Adding 29 to both sides, we get:
3y = 11
Dividing by 3, we get:
y = 11/3
Therefore, the solution to the system of equations is:
x = -29/3 and y = 11/3