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Y=-6x+2

How many solutions does this linear system have?
O one solution: (0, 0)
Oone solution: (1, 4)
O no solution
Oinfinite number of Solutions
-12x– 2y =4

Y=-6x+2 How many solutions does this linear system have? O one solution: (0, 0) Oone-example-1

1 Answer

7 votes

Answer:

The system has of the equation has no solution

Thus,

NO SOLUTION!

Explanation:

Given the system of equations


\begin{bmatrix}y=-6x+2\\ -12x-2y=4\end{bmatrix}

Arrange equation variables for elimination


\begin{bmatrix}y+6x=2\\ -2y-12x=4\end{bmatrix}


\mathrm{Multiply\:}y+6x=2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+12x=4

so


\begin{bmatrix}2y+12x=4\\ -2y-12x=4\end{bmatrix}

adding both equations


-2y-12x=4


+


\underline{2y+12x=4}


0=8

so


\begin{bmatrix}2y+12x=4\\ 0=8\end{bmatrix}

0 = 8 is false, therefore the system has of the equation has no solution

Thus,

NO SOLUTION!

Please also check the attached figure.

Y=-6x+2 How many solutions does this linear system have? O one solution: (0, 0) Oone-example-1
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