Solve by Substitution 4x+4y=5 , 2x-8y=-5

Problem

{[4*x+4*y=5],[2*x−8*y=−5])

Solution

1. Isolate the variable 2*x in the second equation by adding 8*y to both sides.

2*x=8*y−5

2. Express 4*x in terms of y by multiplying the entire equation 2*x=8*y−5 by 2

4*x=2*(8*y−5)

4*x=16*y−10

3. Substitute the expression for 4*x into the first equation 4*x+4*y=5

(16*y−10)+4*y=5

4. Combine like terms and solve for y

20*y−10=5

20*y=15

y=15/20

y=3/4

5. Substitute the value of y back into the expression for 2*x to find x

2*x=8*(3/4)−5

2*x=6−5

2*x=1

x=1/2

Final Answer

(x,y)=(1/2,3/4)

Want more problems? Check here!