Question

4.
3x - y = 10
5x + y = 14

Explanation:

Step1: Add the two equations

$$(3x - y) + (5x + y) = 10 + 14$$
$$8x = 24$$

Step2: Solve for $x$

$$x = \frac{24}{8} = 3$$

Step3: Substitute $x=3$ into first equation

$$3(3) - y = 10$$
$$9 - y = 10$$

Step4: Solve for $y$

$$-y = 10 - 9$$
$$y = -1$$

Answer:

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