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3 years ago

Solve the system of equations. – 3y + 5x = 26 - 2 - 5x = -16

Mathematics

1 answer:

mylen [45]3 years ago

7 0

Answer:

$y=-4,\:x=\frac{14}{5}$

Step-by-step explanation:

$\begin{bmatrix}-3y+5x=26\\ -2-5x=-16\end{bmatrix}$

Isolate x for -2-5x=-16:

$x=\frac{14}{5}$

$\mathrm{Substitute\:}x=\frac{14}{5}$

$\begin{bmatrix}-3y+5\cdot \frac{14}{5}=26\end{bmatrix}$

$Simplify$

$\begin{bmatrix}-3y+14=26\end{bmatrix}$

Isolate y for -3y+14=26:

$y=-4$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=-4,\:x=\frac{14}{5}$

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