Question

solve the following systems of equations show work please.
-x+8y=16
3x+4y=36

Answer 1

-x+8y=16
3x+4y=36


3(-x+8y)=3*16
3x+4y=36


-3x+24y=48
3x+4y=36
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0x+28y=84

28y=84
y=84/28
y=3


-x+8y=16
-x+8(3)=16
-x+24=16
-x=16-24
-x=-8
x=8

So the solutions are x=8 and y=3 giving us the ordered pair (8,3)

Answer 2

y = (16+x)/8
y = (36-3x)/4

y = y

4(16+x) = 8(36-3x)

64+4x = 288 - 24x

28x = 224

x = 8
y = 3