Question

12. Which answer best describes the number of solutions for the following system of equations?

4x+y = 5
8x+2y = -6
A. 1 solution
B. 2 solutions
C. no solutions
D. infinitely many solutions

Answer 1

Answer: C. no solution

Explanation:

4x+y=5 (1)

8x+2y=-6 (2)

Multiply both parts of the equation (1) by 2:

8x+2y=10

8x+2y=-6

The left-hand sides of the system of equations are equal to each other,

and the right-hand sides of the system of equations are not equal

to each other, hence, the system of equations has no solution