Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
2x + y = 12
x = 9 − 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x − y = 11
y = 11 − 2x
4x − 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x − 2y = -7
x = 2, y = 7
arrowRight
x = 5, y = 2
arrowRight
x = 3, y = 5
arrowRight
x = 7, y = 3
arrowRight

Answer 1

Matches:

- 2x + y = 12 and x = 9 − 2y → x = 5, y = 2
- x + 3y = 16 and 2x − y = 11 → x = 7, y = 3
- y = 11 − 2x and 4x − 3y = −13 → x = 2, y = 7
- 2x + y = 11 and x − 2y = −7 → x = 3, y = 5

Not used: the pair x + 2y = 9 with 2x + 4y = 20 (inconsistent, no solution) and y = 10 + x with −3x + 3y = 30 (infinitely many solutions).