Question

A system of equations is shown.

x + y = −8

2x + 2y = 10

x, y,

Which statement is true about this system of equations?
A
There are infinitely many solutions.
B
The only solution is (−8, 5).
C
The only solution is (5, −8).
D
There is no solution.

Answer 1

D

Multiply the first equation by 2: 2x + 2y = −16, which contradicts 2x + 2y = 10. The system is inconsistent, so there is no solution.