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Find the solution to the system of equations. You can use the interactive graph below to find the solution.
${\begin{cases} 8 x - 4 y = 16 \\ 8 x + 4 y = 16 \end{cases}$
$x =$
$y =$

Answer

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Answer

$x = 2$

Steps

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

Step 2 ： $x - \frac{1}{2} y = 2$

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

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 ： $x = 2$