Question

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.

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Step2: Solve for x

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

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

Step3: Substitute x into first equation

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

$$ 8\times2 + y = 21\\ 16 + y = 21 $$

Step4: Solve for y

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

$$ y=21 - 16=5 $$

Answer:

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