Question

Find the number of solutions for $y=-2x+2$ and $y=-8x+8$.

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Answer 1

Number of solution of $y=-2x+2\&y=-8x+8$. is the number of intersection points of these two

straight lines.

Graph of $y=-2x+2\&y=-8x+8$ is

We observe that these two lines intersect at only one point which is $x=1andy=0$.

So,number of solution for $y=-2x+2$ and $y=-8x+8$ is 1.