How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent $x + 3 y = - 3$ $x + 3y = -3$ , $2x – y = 8$ ?

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Answer 1 · 2018-02-21T15:33:46

The point of intersection is: $(x,y)=(3, -2)$
The system is consistent as there is a shared point.

Consider $x+3y=-3$

Point $P_1$ is on the x-axis at $y=0 => x+0=-3$
$color(white)("dddddddddddddddddddd")P_1->(x_1,y_1)=(-3,0)$

Point $P_2$ the y-axis at $x=0 => 3y=-3 =>y=-1$
$color(white)("dddddddddddddddddddd")P_2->(x_2,y_2)=(0,-1)$

Draw a strait line through $P_1 and P_2$ and continue to the edge of the graphing area.
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Consider $2x-y=8$

Point $P_3$ is on the x-axis at $y=0 => 2x=8 => x=4$
$color(white)("dddddddddddddddddddd") P_3->(x_3,y_3)=(4,0)$

Point $P_4$ is on the y-axis at $x=0 => -y=8 => y=-8$
$color(white)("dddddddddddddddddddd")P_4->(x_4.y_4)=(0,-8)$

Draw a strait line through $P_3 and P_4$ and continue to the edge of the graphing area.
Tony B

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent x + 3y = -3x+3y=−3x + 3y = -3, 2x – y = 82x – y = 8?