Question

Complete the equation so that it has infinite solutions. (1 point)

Item 1

LESSON FEEDBACK

Item 2

<

4x + 10 = Box x+ Box

Answer 1

To create an equation that has infinite solutions, both sides of the equation must be identical. Therefore, you can rewrite the right side of the equation to match the left side.

Starting with the equation you provided:

\( 4x + 10 = \text{Box} \cdot x + \text{Box} \)

To make both sides equal, we can set the values of "Box" so that the expression on the right side simplifies to \(4x + 10\).

One possible solution is:

If we let both instances of "Box" be equal to 4 and 10 respectively:

- Let \(\text{Box} = 4\) for the coefficient of \(x\)
- Let \(\text{Box} = 10\) for the constant term

So, we can rewrite the equation as follows:

\( 4x + 10 = 4x + 10 \)

This equation \(4x + 10 = 4x + 10\) has infinite solutions because both sides are identical for any value of \(x\). Thus, it will hold true regardless of the value of \(x\).