Is (5,6) a solution to this system of equations?

Question

20x–16y=4
6x+19y=–5

Answer 1

Let's substitute x=5 and y=6 into the equations:

For the first equation:
20x - 16y = 4
20(5) - 16(6) = 4
100 - 96 = 4
4 = 4

For the second equation:
6x + 19y = -5
6(5) + 19(6) = -5
30 + 114 = -5
144 = -5

Since the second equation does not hold true, the point (5,6) is not a solution to this system of equations.