Question

Is (3, 6) a solution to this system
of equations?

2x+7y=48
5x+3y=51

Answer 1

No, because the solution in this equation is (213/29 , 138/29)

Explanation:

2x + 7y = 48 (Multiply this by 5)

5x + 3y = 51 (Multiply this by -2)

10x + 35y = 240

-10x - 6y = -102

29y = 138

y = 138/29

2x + 7y = 48

2x + 7(138/29) = 48

2x + 966/29 = 48

2x = 426/29

x = 213/29

(213/29 , 138/29)