Question

Two lines, R and M, are represented by the following equations:

Line R: 2x + 2y = 18
Line M: x + y = 9

Which statement is true about the solution to the set of equations?

It is (18, 9).
It is (9, 18).
There are infinitely many solutions.
There is no solution.

Answer 1

There are infinitely many solutions, because many numbers could be x and y.

Answer 2

If you would like to know what is true about the solution of the set of equations, you can calculate this using the following steps:

2x + 2y = 18
x + y = 9 /*2
______________

2x + 2y = 18
2x + 2y = 18
______________
2x + 2y = 2x + 2y
18 = 18
0 = 0

The correct result would be infinitely many solutions.