Question

2x - y = 10\
y = -4x + 2

Explanation:

Step1: Substitute \( y = -4x + 2 \) into \( 2x - y = 10 \)

Substitute \( y \) in the first equation with the expression from the second equation. So we get \( 2x - (-4x + 2) = 10 \).

Step2: Simplify the equation

Simplify the left - hand side: \( 2x + 4x-2=10 \), which combines to \( 6x - 2 = 10 \).

Step3: Solve for \( x \)

Add 2 to both sides of the equation: \( 6x-2 + 2=10 + 2 \), so \( 6x=12 \). Then divide both sides by 6: \( x=\frac{12}{6}=2 \).

Step4: Substitute \( x = 2 \) into \( y=-4x + 2 \)

Substitute \( x = 2 \) into the equation for \( y \): \( y=-4\times2 + 2=-8 + 2=-6 \).

Answer:

The solution to the system of equations is \( x = 2 \) and \( y=-6 \)