Homework Help

Solve this two linear equations. 2x+3y=5 4x+7y=9

user profile pic

bjackie | (Level 1) eNoter

Posted September 3, 2013 at 8:05 AM via web

dislike 1 like

Solve this two linear equations.

2x+3y=5

4x+7y=9

1 Answer | Add Yours

user profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted September 3, 2013 at 8:12 AM (Answer #1)

dislike 1 like

`2x+y = 5 ----(1)`

`4x+7y = 9 ---(2)`

In this type of questions we have to eliminate one unknown by modifying the equations.

Let us remove x term from (1) and (2).


`(1)xx2`

`4x+2y = 10 ----(1)'`

`(1)'-(2)`

`(4x+2y)-(4x+7y) = 10-9`

`4x+2y-4x-7y = 1`

`-5y = 1`

`y = -1/5`

From (1) we can say;

`2x+y = 5 `

`2x-1/5 = 5`

`2x = 5+1/5`

`x = 13/5`

So the answers are x = 13/5 and y = -1/5

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes