Question

Line A: x + y = 2

Line B: 2x + y = 4

Which statement is true about the solution to the set of equations? (5 points)


There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.

Answer 1

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

x + y = 2 ... y = 2 - x
2x + y = 4
_________________
2x + (2 - x) = 4
2x - x = 4 - 2
x = 2

y = 2 - x = 2 - 2 = 0

(x, y) = (2, 0)

The correct result would be: There is one solution.