Question

Solve using the elimination method
x + 5y = 26
- X+ 7y = 22​

Answer 1

x = 6, y = 4

Explanation:

x + 5y = 26

- x + 7y = 22

_________

0 + 12y = 48

12y = 48

y = 48 / 12

y = 4

Substitute y = 4 in eq. x + 5y = 26,

x + 5 ( 4 ) = 26

x + 20 = 26

x = 26 - 20

x = 6

Answer 2

`x=6\\y=4`

Explanation:

Elimination method:

`x+5y=26`

`-x+7y=22`

Add these equations to eliminate x:

`12y=48`

Then solve
`12y=48` for y:

`12y=48`

`y=48/12`

`y=4`

Write down an original equation:

`x+5y=26`

Substitute 4 for y in
`x+5y=26`:

`x+5(4)=26`

`x+20=26`

`x=26-20`

`x=6`

{
`x=6` and
`y=4` } ⇒
`(6,4)`

hope this helps...