Question

Drag each tile to the correct box. Not all tiles will be used.
Arrange the systems of equations that have a single solution in increasing order of the x-values in their solutions.
2x + y = 10
x − 3y = -2
x + 2y = 5
2x + y = 4
x + 3y = 5
6x − y = 11
2x + y = 10
-6x − 3y = -2
→ →

Answer 1

The systems with a single solution, ordered by increasing x-value:

1) x + 2y = 5 and 2x + y = 4 → solution (x, y) = (1, 2)
2) x + 3y = 5 and 6x − y = 11 → solution (x, y) = (2, 1)
3) 2x + y = 10 and x − 3y = −2 → solution (x, y) = (4, 2)