3x - 4y = 10 (eq. 1)
2y + 4x = 6 (eq. 2)
Isolating y from the second equation:
[tex]\begin{gathered} 2y=6-4x \\ y=\frac{6-4x}{2} \\ y=\frac{6}{2}-\frac{4x}{2} \\ y=3-2x \end{gathered}[/tex]Substituting this equation into the first equation:
3x - 4(3 - 2x) = 10
3x - 4(3) + 4(2x) = 10
3x - 12 + 8x = 10
11x - 12 = 10
11x = 10 + 12
11x = 22
x = 22/11
x = 2
Then,
y = 3 - 2x
y = 3 - 2(2)
y = 3 - 4
y = -1
