Consider the equation 4+2 (5x-8) = ax + b.

If a = 10 and b = - 4, find the number of solutions to the equation.

Answer: 0 solutions

Step-by-step explanation:

plug in the values for a and b.

4 + 2 (5x-8) = 10x + (-4)

simplify.

4 + (10x-16) = 10x - 4

10x - 12 = 10x - 4

10x - 8 = 10x

-8 ≠ 0

∅ - there's no real value that could be x that would allow both sides of the equation to be equal to each other.

No solutions,

No. of solutions: zero

Step-by-step explanation:

4+2 (5x-8) = ax + b

4 + 10x - 16 = ax + b

10x - 12 = ax + b

10x - 12 = 10x - 4

-12 = - 4 is a false statement

So, no solution