Question

what is the solution to the system of equations?$\begin{cases}2x - 2y = 6\\2x + 2y = 50end{cases}$(make sure you put parenthesis around your two numbers in the format of (x, y))

Explanation:

Step1: Add the two equations

$$(2x - 2y) + (2x + 2y) = 6 + 50$$
$$4x = 56$$

Step2: Solve for $x$

$$x = \frac{56}{4} = 14$$

Step3: Substitute $x=14$ into first equation

$$2(14) - 2y = 6$$
$$28 - 2y = 6$$

Step4: Solve for $y$

$$-2y = 6 - 28$$
$$-2y = -22$$
$$y = \frac{-22}{-2} = 11$$

Answer:

$(14, 11)$