Question

solve each system of linear equations by substitution you will get an x, y point for solution

show steps
y = x - 4 2x + y = 5


next set is
x + 4y = 6 y = -x + 3


next set is
x + 2y = 6 x - y = 3

next set is
3x - 2y = 9 y = 2x - 7

Answer 1

{y = x - 4    

                          => 2x+x-4=5 => 3x=9......x=3

{2x + y = 5                                                 y=3-4=-1

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{x+4y=6

{y=-x+3

=> x+4(-x+3)=6

   x-4x+12=6

-3x=-6

x=2

y=-2+3=1

y=1

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{x+2y=9

{x-y=3 .......x=3+y

3+y+2y=9

3y=6

y=2

x=3+2=5

x=5

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{3x-2y=9

{y=2x-7

3x-2(2x-7)=9

3x-4x+14=9

-x=-5

x=5

y=2*5-7=10-7=3

y=3