Question

3x - 4y = 13
2x + 4y = 2

Explanation:

Step1: Add the two equations

$$(3x - 4y) + (2x + 4y) = 13 + 2$$
$$5x = 15$$

Step2: Solve for x

$$x = \frac{15}{5} = 3$$

Step3: Substitute x=3 into second equation

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

Step4: Solve for y

$$4y = 2 - 6 = -4$$
$$y = \frac{-4}{4} = -1$$

Answer:

$x=3$, $y=-1$