Solve system with substitute .5x+2y=5 and x-2y=-8

x=-1/2 and y=15/4

Step-by-step explanation:

Rewrite equations:

x−2y=−8;5x+2y=5

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin5x+2y=5:

5x+2y=5

5(2y−8)+2y=5

12y−40=5(Simplify both sides of the equation)

12y−40+40=5+40(Add 40 to both sides)

12y=45

12y/12=45/12 divide both sides by 12

y=15/4

Step: Substitute 15/4 for y in x=2y−8

x=2y−8

x=2(15/4)-8

x=-1/2 (simplify both sides of the equation.)