Question

Enter the numbers that make the algebraic expressions equivalent.(1 point)
Expression 1: 4x+5(x−2)+?

Expression 2:
?x−11−x+9

Answer 1

To make the expressions equivalent, we need to find the missing values that will make both sides equal.

In Expression 1: 4x + 5(x-2) + ?, the ? represents a missing value.

In Expression 2: ?x - 11 - x + 9, the ? also represents a missing value.

To find the missing values, we can set the two expressions equal to each other and solve for ?.

Thus, we have:

4x + 5(x-2) + ? = ?x - 11 - x + 9

Simplifying the equation gives us:

4x + 5x - 10 + ? = ?x - x - 2

Combining like terms gives us:

9x - 10 + ? = 0

Now, let's isolate the ? by subtracting 9x from both sides:

-10 + ? = -9x

Lastly, add 10 to both sides to solve for ?:

? = -9x + 10

Therefore, the missing values that will make the algebraic expressions equivalent are -9x + 10.