Question

what is the solution to this system of linear equations? 2x 3y = 3 7x – 3y = 24 a.(2, 7) b.(3, –21) c.(3, –1) d.(9, 0)

Answer 1

The Correct Answer Is (3,-1)

Answer 2

The solution is the option C

`(3,-1)`

Explanation:

we have

`2x+3y=3` -----> equation A

`7x-3y=24` -----> equation B

Adds equation A and equation B

`2x+3y=3\\7x-3y=24\\---------\\2x+7x=3+24\\9x=27\\x=3`

Find the value of y

`2(3)+3y=3`

`6+3y=3`

Subtract
`6` both sides

`3y=3-6`

`3y=-3`

Divide by
`3` both sides

`y=-1`

The solution is the point
`(3,-1)`