Question

1. $-3x + 4y = 6$

$-x + 2y = 8$

Explanation:

Step1: Isolate $x$ from second equation

$-x + 2y = 8 \implies x = 2y - 8$

Step2: Substitute $x$ into first equation

$-3(2y - 8) + 4y = 6$

Step3: Simplify to solve for $y$

$-6y + 24 + 4y = 6 \implies -2y = 6 - 24 \implies -2y = -18 \implies y = 9$

Step4: Substitute $y=9$ into $x=2y-8$

$x = 2(9) - 8 = 18 - 8 = 10$

Answer:

$x=10$, $y=9$