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Rus_ich [418]
3 years ago
12

If y=2x+9 and y=6-x what is the solution?

Mathematics
1 answer:
motikmotik3 years ago
4 0

We have:

\begin{cases}y=2x+9 \\y=-x+6 \\\end{cases}

First multiply the second equation by 2 to get:

\begin{cases}y=2x+9 \\2y=-2x+12 \\\end{cases}

Then add the equations to eliminate the x-terms to get:

3y=21\Longrightarrow y=7

And finally use calculated y and plug it in one of the original equations to find x:

7=6-x\Longrightarrow x=-1

The solution is a point P(-1,7) where lines y=2x+9 and y=6-x intersect.

Hope this helps.

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