Question

Complete the equation so it has infinite solutions.
4x + 10 = _x + _

Answer 1

To create an equation with infinite solutions, both sides must be equivalent expressions.

You want to manipulate the equation \(4x + 10 = _x + _\) to make it true for all values of \(x\).

Here's one way to do it:

Set the blank on the left side to match the right side. We can rewrite the right side as the same expression as the left.

Let the blanks be:
- For the first blank (coefficient of \(x\)), use \(4\)
- For the second blank (constant term), use \(10\)

So the completed equation is:
\[
4x + 10 = 4x + 10
\]

This equation will have infinite solutions because both sides are identical for any value of \(x\).