Question

Solve by substitution 4y=2x and 2x+y=x/2+1

Answer 1

x=1/2 y=1/4

Explanation:

Get simplify the first equation to get x alone

4y/2=2x/2

2y=x

Plug x into the second equation

2(2y)+y=(2y)/2 +1

4y+y=y+1

4y+y-y=y-y+1

4y=1

y=1/4

Now plug the y-value into one of the equations and solve for x

4(1/4)=2x

2x=1

x=1/2

Check by plugging both the x- and y-values into the other equation and solving to make sure both sides are equal

2(1/2)+(1/4)=(1/2)/2 +1

1+1/4=1/4+1

5/4=5/4

The values are correct!