Posted by **rachel** on Monday, November 21, 2011 at 9:41pm.

solve by substitution.

0.5x+0.25y=36

y+18=16x

- algebra 1 -
**Anonymous**, Tuesday, November 22, 2011 at 8:59am
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

## Answer This Question

## Related Questions

- Algebra 2 - Standard form for both equation with steps 16x^2-96x+144+25y^2=400 ...
- Algebra 2 - Standard form for both equation with steps 16x^2-96x+144+25y^2=400 ...
- algebra - Solve the system by addition or substitution. 16x-4y=20 y=4x-4 I ask ...
- algebra 2 - Find the points where these quadratic relations intersect. 16x^2-5y^...
- Algebra - There are two solutions to | 16x - 5 | = 3. The greatest solution is ...
- math - (6x-5y)^2= 36x-25y 6x-5y (4x+5y)^2 16x+25y 4x+5y Please check to see if ...
- Algebra - help me solve this equation by substitution. y^2− 4x^2 = 7 9y^2+...
- math - Find the points where these conics intercept: 16x^2 - 5y^2 = 64 16x^2 + ...
- Algebra - I just cannot seem to get these two problems. Any help is greatly ...
- algebra - i need help with these problems (either a solution or how to plug them...

More Related Questions