solve the system of equations using the substitution method
8x - 9 = y
y - 8x = -4
8x - 9 = y
y - 8x = -4
8x - 9 - 8x = -4
No solution.
-1=x
To solve the system of equations using the substitution method, we need to isolate one variable in one equation and substitute it into the other equation. Let's solve the system step by step:
Step 1: Solve one equation for one variable
Let's solve the first equation, 8x - 9 = y, for y.
Rearrange the equation to get:
y = 8x - 9
Step 2: Substitute
Now substitute the expression for y in the second equation, y - 8x = -4:
(8x - 9) - 8x = -4
Step 3: Simplify and solve for x
Remove the parentheses and simplify:
8x - 9 - 8x = -4
Combine like terms:
-9 = -4
This equation is inconsistent, meaning there is no solution that satisfies both equations. Therefore, the system of equations is inconsistent and has no solution.