Question

solve using elimination.
10x + 8y = -18
3x + y = -18
(□, □)
submit

Explanation:

Step1: Eliminate y, scale 2nd eq

Multiply the second equation by 8:
$$8\times(3x + y) = 8\times(-18)$$
$$24x + 8y = -144$$

Step2: Subtract first eq from new eq

Subtract $10x + 8y = -18$ from $24x + 8y = -144$:
$$(24x + 8y) - (10x + 8y) = -144 - (-18)$$
$$14x = -126$$

Step3: Solve for x

Divide both sides by 14:
$$x = \frac{-126}{14} = -9$$

Step4: Substitute x into 2nd eq

Plug $x=-9$ into $3x + y = -18$:
$$3\times(-9) + y = -18$$
$$-27 + y = -18$$

Step5: Solve for y

Add 27 to both sides:
$$y = -18 + 27 = 9$$

Answer:

$(-9, 9)$