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Alika [10]
3 years ago
15

How to solve 3x+y=4 2x+y=5

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0
You can in this case simple subtract one equation from the other to eliminate the y variable...

(3x+y=4)-(2x+y=5)

3x-2x+y-y=4-5

x=-1, now you can substitute this value of x into either of the original equation to find the value of y...

3x+y=4 becomes

3(-1)+y=4

-3+y=4  add 3 to both sides

y=7

So the solution to the system of equations, where graphically the two lines intersect, is the point:

(-1, 7)
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MakcuM [25]
We know that
the equation of the line in point-slope------------> <span> (y – y1) = m(x – x1)
</span>the equation of the line in slope intercept forms. ----->  y =mx+b

find the slope m
point <span>(8,-2) & (7,-4).
m=(y2-y1)/(x2-x1)---------> </span>(-4+2)/(7-8)=-2/-1----------> m=2

Part A)
find the equation of the line in point-slope using <span>(8,-2)
</span>(y – y1) = m(x – x1)---------> (y-(-2)) = 2*(x – 8)-------> y+2=2x-16
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</span>Part B)
find the equation of the line in point-slope using (7,-4)
(y – y1) = m(x – x1)---------> (y-(-4)) = 2*(x – 7)-------> y+4=2x-14
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</span>Part C)
find the equation of the line in slope intercept forms
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then
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Part D)
find the equation of the line in slope intercept forms
using (8,-2)
y=mx+b--------> -2=2*8+b----------> -2=16+b-----------> b=-18
then
y=2x-18
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