Question

1. consider the following equations: -4x + 2y = -8 2x - 4y = -2 explain... 7b state the pair of x and y values which satisfy both equations. x = y =

Explanation:

Step1: Simplify the first equation

Given \(-4x + 2y = -8\), divide each term by 2: \(-2x + y = -4\), so \(y = 2x - 4\).

Step2: Substitute into the second equation

The second equation is \(2x - 4y = -2\). Substitute \(y = 2x - 4\) into it:
\(2x - 4(2x - 4) = -2\)
Expand: \(2x - 8x + 16 = -2\)
Combine like terms: \(-6x + 16 = -2\)
Subtract 16: \(-6x = -18\)
Divide by -6: \(x = 3\).

Step3: Find y using x=3

Substitute \(x = 3\) into \(y = 2x - 4\):
\(y = 2(3) - 4 = 6 - 4 = 2\).

Answer:

\(x = 3\), \(y = 2\)