Question

7/2x−1/2y=9/2
3x−y=5
What is the solution of the system of equations?

Answer 1

The solution would be (1,-2)

Answer 2

The solution of the equations is (1,-2).

Explanation:

Given : Equations
`(7)/(2)x-(1)/(2)y=(9)/(2)` and
`3x-y=5`

To find : What is the solution of the system of equations?

Solution :

Simplify the first equation,

`7x-y=9` ....(1)

`3x-y=5` .....(2)

Subtracting (2) from (1),

`7x-y-3x+y=9-5`

`4x=4`

`x=1`

Substitute in (1),

`7(1)-y=9`

`y=-2`

Therefore, the solution of the equations is (1,-2).