If h(x) = -2x+5/4, find h(x) = 3/4

Step-by-step explanation:

So we have the function:

And we want to find h(x)=3/4.

So, we want to find the value of x such that h(x) equates to 3/4.

So, substitute 3/4 for h(x):

First, subtract both sides by 5/4. The right will cancel.

Subtract on the left:

Reduce on the left:

Now, multiply both sides by -1/2. The right will again cancel:

Multiply on the left:

So, for h(x) to be 3/4, the value of x is 1/4.

And we're done!

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions