Question

question 10 of 15 (1 point) / question atten solve the following system of equations. 8x + y = 21 -11x - y = -27 x = y =

Explanation:

Step1: Add the two equations

Add the equations \(8x + y = 21\) and \(-11x - y = -27\) together. The \(y\) terms will cancel out.

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Step2: Solve for \(x\)

Divide both sides of the equation \(-3x = -6\) by \(-3\) to find the value of \(x\).

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

Step3: Substitute \(x = 2\) into the first equation

Substitute \(x = 2\) into \(8x + y = 21\) to solve for \(y\).

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Step4: Solve for \(y\)

Subtract 16 from both sides of the equation \(16 + y = 21\).

$$ y = 21 - 16 = 5 $$

Answer:

\(x = 2\), \(y = 5\)