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dexar [7]
3 years ago
12

ALG 2 7x+y=9 solve for y

Mathematics
1 answer:
____ [38]3 years ago
5 0

7x+y-9=0

move constant to the left by adding its opposite to both sides. the sum of the two =0

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What is the solution to the system? <br><br> (___,___)
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For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

y=2x+b, now solve for b with either of the points, I'll use: (1,2)

2=2(1)+b

b=0 so the first line is:

y=2x

Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

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b=7 so 

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

...

The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...

2x=(-3x+14)/2

4x=-3x+14

7x=14

x=2, and using y=2x we see that:

y=2(2)=4, so the solution occurs at the point:

(2,4)


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Answer:

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