# algebra 1

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solve by substitution.
0.5x+0.25y=36
y+18=16x

• algebra 1 -

y + 18 = 16 x

y = 16 x - 18
______________

0.5 x + 0.25 y = 36

x / 2 + y / 4 = 36 Multiply both sides with 4

4 x / 2 + 4 y / 4 = 36 4

2 x + y = 144

2 x + 16 x - 18 = 144

18 x = 144 + 18

18 x = 162 Divide both sides with 18

x = 162 / 18

x = 9

y = 16 x -18

y = 16 9 - 18

y = 144 - 18

y = 126

Solutions :

x = 9 , y = 126
Proof :

0.5 x + 0.25 y = 36

x / 2 + y / 4 =

9 / 2 + 126 / 4 =

18 / 4 + 126 / 4 =

144 / 4 = 36

y + 18 = 16x

126 + 18 = 16 9

144 = 144

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