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Is-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-e
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Find the solution to the system of equations. You can use the interactive graph below to find the solution.
\[
\left\{\begin{array}{l}
8 x-4 y=16 \\
8 x+4 y=16
\end{array}\right.
\]
\( x= \)
\( y= \)

Answer

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Answer

\( x = 2 \)

Steps

Step 1 ：\( \frac{1}{8} (8x - 4y) = \frac{1}{8} (16) \)

Step 2 ：\( x - \frac{1}{2}y = 2 \)

Step 3 ：\( \frac{1}{8} (8x + 4y) = \frac{1}{8} (16) \)

Step 4 ：\( x + \frac{1}{2}y = 2 \)

Step 5 ：\( x = 2 + \frac{1}{2}y \)

Step 6 ：\( 2 + \frac{1}{2}y = 2 - \frac{1}{2}y \)

Step 7 ：\( y = 0 \)

Step 8 ：\( x = 2 \)