Question

2x+2y=6 3x-y=5 equivalent equation

Answer 1

Answer:

x = 2, y = 1

Step-by-step explanation:

Given:

$\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}$

Solve:

$\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}$

$\mathrm{Substitute\:}$

$\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}$

$\mathrm{Simplfy}$

$\begin{bmatrix}9-4y=5\end{bmatrix}$

$\mathrm{Isolate\;y\;for\;9-4y=5:y=1}$

$\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1$

$x=3-1$

$\mathrm{Simplify}$

$x=2$

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

$x=2,\:y=1$

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Check Answer:

Since $x =2 , y =1$

$2(2)+2(1)$

$4 + 2$

$= 6$

True

$3(2) - (1)$

$6 -1$

$5$

True

Hence, $x = 2, y = 1$

~Lenvy~