Is (1,5) a solution to this system of equations?

Question

5x+3y=20
x+2y=11

Answer 1

To test if (1,5) is a solution to the system of equations, we can substitute x=1 and y=5 into both equations and see if they hold true.

So for the first equation 5x + 3y = 20, with x = 1 and y = 5:
5(1) + 3(5) = 5 + 15 = 20, which is true.

For the second equation x + 2y = 11, with x = 1 and y = 5:
1 + 2(5) = 1 + 10 = 11, which is also true.

Therefore, (1,5) is a solution to the system of equations 5x + 3y = 20 and x + 2y = 11.