Answer:
Please check the explanation.
Step-by-step explanation:
Given the equations
[tex]y=-6x-10[/tex]
[tex]y=-3x-21[/tex]
solving the system of the equations
Arrange the equation variables for elimination
[tex]\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}[/tex]
[tex]y+3x=-21[/tex]
[tex]-[/tex]
[tex]\underline{y+6x=-10}[/tex]
[tex]-3x=-11[/tex]
[tex]\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}[/tex]
solve
[tex]-3x=-11[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{-11}{-3}[/tex]
[tex]x=\frac{11}{3}[/tex]
[tex]\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y=-32[/tex]
Therefore, the solutions to the system of the equations are:
[tex]y=-32,\:x=\frac{11}{3}[/tex]
But, it seems none of the options is true.
Answer:
A. (2, -22)
Step-by-step explanation:
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