Question

How do you solve y + 3x = 11 and 2y - x = 2?

Answer 1

`x = (20)/(7)`
`y = 17/7`

Explanation:

y + 3x = 11 --------------(1)
2y - x = 2 --------------(2)

Solve the 1st equation for y
y = 11 -3x --------------(3)

Substitute the value of y = 11 - 3x in equation (2)

2(11 - 3x) - x = 2
22 - 6x - x = 2
-7x = 2 -22
`x = (-20)/(-7)`
`x = (20)/(7)`

Substitute the value of x in equation (3)
`y = 11 - 3(20/7)`
`y = 11 - (60/7)`
`y = (77 -60)/7=17/7`
`y = 17/7`