Question

Use the substitution method to solve the following system of equations.

Answer 1

(x,y)= (2,0) because that’s how you do it

Answer 2

(x,y)=(2,0)

Explanation:

Use the first equation to find x. add 1/6 y on both sides, then multiply by 6/5 to get x by itself.

you will get x=2+1/5y

Now you substitute the x value into the second equation

1/2(2+1/5y)+3/4y=1

Distribute the 1/2 to get

1+1/10y+3/4y=1

The only possible value for y is 0.

Now you know y = 0.

Now substitute 0 in for the y in the x value

x = 2+1/5y

x=2+0

x=2

Therefore your answer is (2,0) or x=2 y=0