Question

5x - 2y = 4\
x + 2y = 8

Explanation:

Step1: Add the two equations

$$(5x - 2y) + (x + 2y) = 4 + 8$$
$$6x = 12$$

Step2: Solve for x

$$x = \frac{12}{6} = 2$$

Step3: Substitute x=2 into second equation

$$2 + 2y = 8$$

Step4: Solve for y

$$2y = 8 - 2 = 6$$
$$y = \frac{6}{2} = 3$$

Answer:

$x=2$, $y=3$