Mathematics: X + 2y = 11 Y = x - 2

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X + 2y = 11 Y = x - 2 - id21129718121, preciosakassidy

Kikilcaro4423

12.02.2022

The solution to the system of equations is:

$x=5,\:y=3$

Step-by-step 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

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

solving for y

3y=9

Divide both sides by 3

$\frac{3y}{3}=\frac{9}{3}$

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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