Question

Big Reward! (Answer the right answer not just comment).

2(5x-4)=ax+b
Find a value for a and b so that the solution is
A. Has one solution
B. Has no solutions.
C. Infinite Solutions

Answer 1

A. a = 0, b = 2

B. a = 10, b = 0

C. a = 10, b = -8

Explanation:

2(5x-4)=ax+b

10x - 8 = ax + b

When a = 10, b = -8

This equation becomes true for all x. Hence infinite solutions.

When a = 10, b is not -8,

This equation has no solution.

One possible combination could be:

a = 10, b = 0

When a is not 10,

The two sides of the equation become two non parallel lines which will intersect at one point.

A combination could be:

a = 0, b = 2

Answer 2

A: One solution- a=11 b=5
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8