Question

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solve the system of linear equations by elimination.
$2x + 6y = 24$
$-2x - 2y = 4$
the solution is $(x,y)=(quad,quad).$

Explanation:

Step1: Add the two equations

$$(2x + 6y) + (-2x - 2y) = 24 + 4$$
$$4y = 28$$

Step2: Solve for $y$

$$y = \frac{28}{4} = 7$$

Step3: Substitute $y=7$ into first equation

$$2x + 6\times7 = 24$$
$$2x + 42 = 24$$

Step4: Solve for $x$

$$2x = 24 - 42 = -18$$
$$x = \frac{-18}{2} = -9$$

Answer:

$(-9, 7)$