Question

use elimination to solve the system of equat
$3x + 2y = -19$
$-3x - 5y = 25$
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need help?

Explanation:

Step1: Eliminate \(x\) by adding equations

Add the two equations \(3x + 2y=-19\) and \(-3x - 5y = 25\) together.

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Step2: Solve for \(y\)

Divide both sides of \(-3y = 6\) by \(-3\).

$$ y=\frac{6}{-3}=-2 $$

Step3: Substitute \(y = - 2\) into first equation

Substitute \(y=-2\) into \(3x + 2y=-19\).

$$ 3x+2\times(-2)=-19 $$

$$ 3x-4=-19 $$

Step4: Solve for \(x\)

Add 4 to both sides: \(3x=-19 + 4=-15\).
Divide by 3: \(x=\frac{-15}{3}=-5\)

Answer:

\((-5, -2)\)