Question

What is the value of x in the solution to this system of equations?

5x+2y=67x=3y−7
Question 4 options:

6


18.5


24


11

Answer 1

x = 11

Explanation:

`x-3y=-7`

`5x=-2y+67`

=>
`x=(1)/(5)(-2y+67)`

=>
`x=-(2)/(5)y+(67)/(5)`

=>
`-(2)/(5)y+(67)/(5)-3y=-7`

=>
`-(17)/(5)y+(67)/(5) =-7`

=>
`(-17)/(5)y=-(102)/(5)`

=> y = 6

=>
`x=-(2)/(5) .6+(67)/(5)`

=> x = 11