Question

Solve the system of equation and choose the correct ordered pair.!2x-6y=8 5x-4y=31

Answer 1

The correct ordered pair is (7,1)

Explanation:

The given system has equations:

`2x - 6y = 8....(1)`

`5x- 4y = 31....(2)`

We make x the subject in the first equation to get:

`x = 4 + 3y...(3)`

Put equation 3 into equation 2 to get:

`5(4 + 3y) - 4y = 31`

Expand:

`20 + 15y - 4y = 31`

`15y - 4y = 31 - 20`

`11y = 11`

`y = 1`

Put y=1 into equation 3 and solve for x.

`x = 4 + 3( 1) = 7`

The correct ordered pair is (7,1)