To solve the given system of equations, use the substitution method: express one variable in terms of the other and substitute into the second equation. Simplify the resulting equation and solve for the variable. Substitute the found value into the first equation to solve for the other variable. The final answer is x = 26 and y = 2.
The given equations are:
9y + 8 = x - 2x + 8y = - 36
To solve this system of equations, we can use the method of substitution. We will solve one equation for x and substitute it into the other equation:
From the first equation: 9y + 8 = x, we can express x in terms of y: x = 9y + 8.
Substituting x = 9y + 8 into the second equation:
-2(9y + 8) + 8y = -36
-18y - 16 + 8y = -36
-10y - 16 = -36
Simplifying further:
-10y = -36 + 16
-10y = -20
Dividing both sides by -10 to solve for y:
y = -20/-10
y = 2
Now, substituting y = 2 into the first equation to solve for x:
9(2) + 8 = x
18 + 8 = x
x = 26
So, the solution to this system of equations is x = 26 and y = 2.