Question

7x + y = 8\\3x + y = 2

Explanation:

Step1: Subtract the two equations

$(7x + y) - (3x + y) = 8 - 2$

Step2: Simplify to solve for x

$4x = 6 \implies x = \frac{6}{4} = \frac{3}{2}$

Step3: Substitute x into second equation

$3\times\frac{3}{2} + y = 2$

Step4: Simplify to solve for y

$\frac{9}{2} + y = 2 \implies y = 2 - \frac{9}{2} = -\frac{5}{2}$

Answer:

$x=\frac{3}{2}$, $y=-\frac{5}{2}$