Question

find the solution of the system of equations.
$9x - 7y = -5$
$-3x + 7y = 11$
answer attempt 1 out of 5
(\square,\square) submit answer

Explanation:

Step1: Add the two equations

To eliminate \( y \), we add the equations \( 9x - 7y = -5 \) and \( -3x + 7y = 11 \) together.

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Step2: Solve for \( x \)

Divide both sides of \( 6x = 6 \) by 6.

$$ x = \frac{6}{6} = 1 $$

Step3: Substitute \( x = 1 \) into one of the original equations

Let's use the second equation \( -3x + 7y = 11 \). Substitute \( x = 1 \):

$$ -3(1) + 7y = 11 \\ -3 + 7y = 11 $$

Step4: Solve for \( y \)

Add 3 to both sides of \( -3 + 7y = 11 \):

$$ 7y = 11 + 3 \\ 7y = 14 $$

Divide both sides by 7:

$$ y = \frac{14}{7} = 2 $$

Answer:

\((1, 2)\)