Question

4x + 2y = 4
-6x + 4y = 8

Explanation:

Step1: Eliminate y by scaling equations

Multiply the first equation \(4x + 2y = 4\) by 2: \(8x + 4y = 8\).

Step2: Subtract the second equation

Subtract \(-6x + 4y = 8\) from \(8x + 4y = 8\):
\((8x + 4y) - (-6x + 4y) = 8 - 8\)
\(8x + 4y + 6x - 4y = 0\)
\(14x = 0\)
So, \(x = 0\).

Step3: Substitute x into first equation

Plug \(x = 0\) into \(4x + 2y = 4\):
\(4(0) + 2y = 4\)
\(2y = 4\)
\(y = 2\).

Answer:

\(x = 0\), \(y = 2\)