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2 votes
X + 2y = 11
Y = x - 2

1 Answer

6 votes

Answer:

The solution to the system of equations is:


x=5,\:y=3

Explanation:

Given the system of equations


\begin{bmatrix}x+2y=11\\ y=x-2\end{bmatrix}

Arrange equation variables for elimination


\begin{bmatrix}x+2y=11\\ -x+y=-2\end{bmatrix}

adding


-x+y=-2


+


\underline{x+2y=11}


3y=9

so


\begin{bmatrix}x+2y=11\\ 3y=9\end{bmatrix}

solving for y


3y=9

Divide both sides by 3


(3y)/(3)=(9)/(3)


y=3


\mathrm{For\:}x+2y=11\mathrm{\:plug\:in\:}y=3


x+2\cdot \:3=11


x+6=11


x=5

Thus, the solution to the system of equations is:


x=5,\:y=3

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