Question

solve the system using addition.
$7x + 5y = -23$
$-7x + y = 71$
the solution is \boxed{}. (type an ordered pair.)
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Explanation:

Step1: Add the two equations

$$(7x + 5y) + (-7x + y) = -23 + 71$$
$$7x - 7x + 5y + y = 48$$
$$6y = 48$$

Step2: Solve for $y$

$$y = \frac{48}{6} = 8$$

Step3: Substitute $y=8$ into second equation

$$-7x + 8 = 71$$
$$-7x = 71 - 8$$
$$-7x = 63$$

Step4: Solve for $x$

$$x = \frac{63}{-7} = -9$$

Answer:

$(-9, 8)$