Enter the numbers that make the algebraic expressions equivalent.(1 point)
Expression 1: 4x+5(x−2)+?
Expression 2:
?x−11−x+9
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.