Question

Solve the system using elimination. 3x – y = 28 3x + y = 14

Answer 1

(7,-7) would be your answer

Answer 2

The value of x=10.5 and y=3.5.

Explanation:

Given : Equations
`3x-y=28` and
`x+y=14`

To find : Solve the system using elimination?

Solution :

Equitation 1 -
`3x-y=28`

Equation 2 -
`x+y=14`

Eliminate y from both the equation by adding them,

`3x-y+x+y=28+14`

`4x=42`

`x=(42)/(4)`

`x=10.5`

Eliminate x by multiplying (2) by 3 and subtract from (1),

`3x-y-3x-3y=28-42`

`-4y=-14`

`y=(14)/(4)`

`y=3.5`

Therefore, The value of x=10.5 and y=3.5.