−8x−9y=−30 and minus, 2, x, minus, 2, y, equals, minus, 8−2x−2y=−8.
The given equations are:
-8x - 9y = -30
-2x - 2y = -8
To solve this system of equations, we can use the method of substitution.
From the second equation, we can express x in terms of y:
-2x = -8 + 2y
Dividing both sides by -2, we get:
x = 4 - y/2
Now we can substitute this expression for x in the first equation:
-8(4 - y/2) - 9y = -30
Simplify:
-32 + 4y - 9y = -30
Combine like terms:
-5y - 32 = -30
Add 32 to both sides:
-5y = -30 + 32
-5y = 2
Divide both sides by -5:
y = -2/5
Now we can substitute this value of y back into the expression for x:
x = 4 - (-2/5)/2
Simplify:
x = 4 + 1/5
x = 21/5
Therefore, the solution to the system of equations is x = 21/5 and y = -2/5.