To find the solution for the system of equations, substitute the expression for y from the first equation into the second equation, simplify, and solve for x. The values are x = 14.4 and y = 4/5.
To find the values of x and y that satisfy both equations, we can substitute the expression for y from the first equation into the second equation:
Start with the equation y = 1/8x - 1.
Substitute this expression for y into the second equation: -x + 3y = 6.
Replace y with 1/8x - 1: -x + 3(1/8x - 1) = 6.
Simplify the equation: -x + 3/8x - 3 = 6.
Combine like terms: 5/8x - 3 = 6.
Add 3 to both sides: 5/8x = 9.
Multiply both sides by 8/5 to isolate x: x = 72/5 = 14.4.
Now that we have the value of x, we can substitute it back into the first equation to find y:
y = 1/8(14.4) - 1 = 1/8 * 72/5 - 1 = 9/5 - 1 = 9/5 - 5/5 = 4/5.
So, the solution to the system of equations is x = 14.4 and y = 4/5.
Complete question:
Given the system of equations:
y = 1/8x - 1
-x + 3y = 6
What are the values of x and y that satisfy both equations?