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Math

Question Solve for xx in the equation: "xx plus 21 minus 10 equals 20".

Studdy Solution

STEP 1

Assumptions
1. We are given a statement to translate into an algebraic equation.
2. The statement is "Subtract 10 from the sum of xx and 21 and the result is 20".
3. We need to find the correct algebraic representation of this statement.

STEP 2

Identify the key components of the statement.
1. "the sum of xx and 21" refers to adding xx and 21 together.
2. "Subtract 10 from" indicates that 10 should be subtracted from the sum obtained in the previous step.
3. "the result is 20" tells us that after performing the subtraction, the final answer should be equal to 20.

STEP 3

Translate the first part of the statement into an algebraic expression.
The sum of xx and 21 is written as:
x+21 x + 21

STEP 4

Translate the second part of the statement into an algebraic expression.
Subtracting 10 from the sum of xx and 21 is written as:
(x+21)−10 (x + 21) - 10

STEP 5

Translate the final part of the statement into an algebraic equation.
The result of the subtraction being equal to 20 is written as:
(x+21)−10=20 (x + 21) - 10 = 20

STEP 6

Combine all parts to form the full algebraic equation that represents the given statement.
(x+21)−10=20 (x + 21) - 10 = 20
This is the algebraic equation for the given statement.

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