What is the solution to this system of linear equations?
2x + 3y = 3
7x – 3y = 24
(2,7)
(3,-21)
(3,-1)
(9,0)

(3,-1)

Step-by-step 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)

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