Question

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

​7x−y=7

x+2y=6

please have a mixed fraction for both the y and x answers

​

Answer 1

(1
`(1)/(3)`, 2
`(1)/(3)` )

Explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x =
`(20)/(15)` =
`(4)/(3)` = 1
`(1)/(3)`

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

`(4)/(3)` + 2y = 6

2y = 6 -
`(4)/(3)` =
`(14)/(3)` ( divide both sides by 2 )

y =
`(7)/(3)` = 2
`(1)/(3)`