Question

1. $2x + y = 20$

$6x - 5y = 12$

Explanation:

Step1: Isolate y in first equation

$y = 20 - 2x$

Step2: Substitute y into second equation

$6x - 5(20 - 2x) = 12$

Step3: Expand and simplify equation

$6x - 100 + 10x = 12$
$16x = 112$

Step4: Solve for x

$x = \frac{112}{16} = 7$

Step5: Substitute x back to find y

$y = 20 - 2(7) = 20 - 14 = 6$

Answer:

$x=7$, $y=6$