SOLUTION: solve by subsitution method 2x+8y=6 4x+8y= -36

Question 432939: solve by subsitution method 2x+8y=6 4x+8y= -36
Answer by Lstark01(4) (Show Source): You can put this solution on YOUR website!
2x+8y=6 and 4x+8y= -36
Take the first equation and solve for x or y. I will solve for y.
2x+8y=6
-2x on both sides
8y = -2x+6
divide by 8 on both sides
y = -.25x + .75
Take this equation and substitute it in for y in the other equation and solve for x:
4x + 8(-.25x + .75) = -36
4x - 2x + 6 = -36 then simplify
2x + 6 = -36
-6 on both sides
2x = -42
divide by 2 on both sides
x = -21
Now place -21 in either equation and solve for y:
2(-21) + 8y = 6
-42 + 8y = 6
+ 42 on both sides
8y = 48
divide by 8 on both sides
y = 6
To check your work, put the values of x and y into either equation;
2(-21) + 8(6) = 6
-42 + 48 = 6
6 = 6
Your answer would be:
(-21,6)
RELATED QUESTIONS
solve by addition method. 4x+4y=3... (answered by ikleyn)

Solve by substitution method 7x+8y=36 X=60-8y Thank... (answered by rfer,stanbon,Sunny Day)

Solve by the elimination method 4x-8y=1... (answered by jim_thompson5910)

Solve by substitution method. -10x+8y=-6 y=5/4x I need help refreshing for... (answered by jim_thompson5910)

Solve using elimination method or any method 9x+8y=7... (answered by Alan3354)

Please help me solve problems. Solve by the elimination method. 4x+3y=-12 9x-3y=-105 (answered by stanbon)

2x+8y=10 7x-8y=-73 solve by the elimination... (answered by oberobic)

solve by substitution method 5x+8y=5... (answered by Tatiana_Stebko)

solve by elimination 4x + 4y = 5 2x - 8y = -5 (answered by mananth)