Alx+b) = 4x + 10
In the equation above, a and b are constants. If the
equation has infinitely many solutions for x, what is
the value of b?

a=4, b=5/2

Step-by-step explanation:

Assuming the given equation is

We expand the left hand side to get:

If this equation must have infinitely many solutions, then

Also we must have

Put a=4 to get:

9 x 8 divided by (5-3)=36

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x