Question

Select the correct answer. What is the difference of the values of the two variables in this system of equations? Y = 2x + 1 x + 3y = 10 A. 0 B. 1 C. 2 D. 3

Answer 1

Option C.
`2`

Explanation:

we have

`y=2x+1` -----> equation A

`x+3y=10` -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (1,3)

see the attached figure

therefore

The solution of the system of equations is

`x=1,y=3`

Find the difference

`y-x=3-1=2`