Question

find the solution of the system of equations.
$-7x - 4y = -44$
$7x - 3y = 16$
answer attempt 1 out of 2
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Explanation:

Step1: Add the two equations

$$(-7x - 4y) + (7x - 3y) = -44 + 16$$
$$-7y = -28$$

Step2: Solve for $y$

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

Step3: Substitute $y=4$ into second equation

$$7x - 3(4) = 16$$
$$7x - 12 = 16$$

Step4: Solve for $x$

$$7x = 16 + 12 = 28$$
$$x = \frac{28}{7} = 4$$

Answer:

$(4, 4)$