Answer fast which of the following ordered pairs is a solution of the given system of linear equations? 7x+3y=15 2x=y+8

7x + 3y = 15
2x = y+8

2nd equation can be rewritten as x = y/2 +4

replace x in 1st equation with that:

7(y/2+4) +3y = 15
 distribute:

7y/2 + 28 +3y = 15

multiply 3y by 2/2 = 6y/2

7y/2 + 6y/2 + 28 = 15

13y/2 + 28 = 15

13y/2 = -13

13y = -26

y = -26 / 13 = -2

2x = -2 +8

2x = 6
x = 6/2 = 3

x=3, y = -2

solution is (3,-2)

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