Question

1. x + 5y = 8x - 20

Explanation:

Step1: Isolate x terms

Subtract \(x\) from both sides: \(x + 5y - x=8x - 20 - x\)
Simplify: \(5y = 7x - 20\)

Step2: Solve for x (optional, if solving for x)

Add 20: \(5y + 20 = 7x\)
Divide by 7: \(x=\frac{5y + 20}{7}\)

Or solve for y:

Step1: Isolate y terms

Subtract \(x\): \(5y=8x - x - 20\)
Simplify: \(5y = 7x - 20\)

Step2: Solve for y

Divide by 5: \(y=\frac{7x - 20}{5}\)

Answer:

If solving for \(y\): \(y = \frac{7x - 20}{5}\) (or \(y=\frac{7}{5}x - 4\))
If solving for \(x\): \(x=\frac{5y + 20}{7}\) (or \(x=\frac{5}{7}y+\frac{20}{7}\))