Complete the sentence based on the equation shown below.

Question

3x+3=hx+3

This equation will have one solution when h= blank because you get one solution when you have blank number of x's on either side of the equation and blank

Answer 1

The equation \(3x + 3 = hx + 3\) will have one solution when \(h = 3\) because you get one solution when you have the same number of \(x\)'s (which is 1 on both sides) and the constants (the numbers without \(x\)) do not affect the solution. In this case, the constants cancel out, leading to the equality \(3x = 3x\), which is always true. Thus, the solution is:

The equation will have one solution when \(h = 3\) because you get one solution when you have the same number of \(x\)'s (1) on either side of the equation and the constants allow for a valid equation.

Answer 2

choose one from these 3 for the last question

the same constant different constants constants can be the same or different

Answer 3

The equation \(3x + 3 = hx + 3\) will have one solution when \(h = 3\) because you get one solution when you have the same number of \(x\)'s on either side of the equation and the constants can be the same or different.

So the complete sentence is:

The equation will have one solution when \(h = 3\) because you get one solution when you have the same number of \(x\)'s on either side of the equation and constants can be the same or different.