Question

What is the solution to this system of linear equations?

2x + 3y = 3
7x – 3y = 24
(2,7)
(3,-21)
(3,-1)
(9,0)

Answer 1

the answer to your question is (3,-1)

Answer 2

(3,-1)

Explanation:

Add the two equations together to cancel out the 3y's: 2x +7x + 3y - 3y = 3 + 24

Simplify this down: 9x = 27

Now divide through by 9: x = 3

Replace x with 3 in either of the equations, I'm going to use the first one since it looks easier: 2(3) + 3y = 3

Simplifiy: 6 + 3y = 3

And rearrange: 3y = -3

Divide by 3: y = -1

So the answer is (3,-1)