Question

7x - 4y = 26\
3x + 4y = -6

Explanation:

Step1: Add the two equations

To eliminate \( y \), we add the equations \( 7x - 4y = 26 \) and \( 3x + 4y = -6 \) together.

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Step2: Solve for \( x \)

Divide both sides of the equation \( 10x = 20 \) by 10.

$$ x=\frac{20}{10}=2 $$

Step3: Substitute \( x = 2 \) into one of the original equations

Let's substitute \( x = 2 \) into the second equation \( 3x + 4y = -6 \).

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Step4: Solve for \( y \)

Subtract 6 from both sides:

$$ 4y=-6 - 6=-12 $$

Divide both sides by 4:

$$ y=\frac{-12}{4}=-3 $$

Answer:

The solution to the system of equations is \( x = 2 \) and \( y=-3 \)