What is the solution of the system? 5x+4y=-2 and x-4y=14

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What is the solution of the system? 5x+4y=-2 and x-4y=14

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Answer 1 · 2018-05-21T12:07:56

$(28 \frac{1}{3}, 2 \frac{5}{6})$ $(28 1/3, 2 5/6)$

Explanation:

We can make the second equation
$x = 4 y + 14$ $x=4y+14$
Substituting that value into the first equation, we get
$5 \cdot (4 y + 14) + 4 y = - 2$ $5*(4y+14)+4y=-2$
$24 y = 68$ $24y=68$
$y = \frac{17}{6}$ $y=17/6$ , or $2 \frac{5}{6}$ $2 5/6$
Substituting this value of $y$ $y$ into either equation, we solve for $x$ $x$ as $\frac{85}{3}$ $85/3$ , or $28 \frac{1}{3}$ $28 1/3$

This gives us the solution $(28 \frac{1}{3}, 2 \frac{5}{6})$ $(28 1/3, 2 5/6)$

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What is the solution of the system? 5x+4y=-2 and x-4y=14

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