solve using the substitution method
8x -9y= -95
5x+64=y
The solution is (___,___)
The procedure is same as the others I
did for you.
7x+9y=-86
x-y=6
To solve the given system of equations using the substitution method, we need to solve one of the equations for one variable and substitute it into the other equation. Let's start by solving the second equation for y.
Given:
1) 8x - 9y = -95
2) 5x + 64 = y
Rearranging equation 2, we get:
y = 5x + 64
Now, we substitute this value of y into equation 1:
8x - 9(5x + 64) = -95
Simplify the equation:
8x - 45x - 576 = -95
Combine like terms:
-37x - 576 = -95
Adding 576 to both sides:
-37x = 481
Divide by -37:
x = -13
Now that we have the value of x, we can substitute it back into either equation to find the value of y. Let's use equation 2:
y = 5(-13) + 64
y = -65 + 64
y = -1
So, the solution to the system of equations is (x, y) = (-13, -1).