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Math  /  Algebra

QuestionSolve for r . 10+r=210+r=2
Answer Attempt 1 out of 2

Studdy Solution

STEP 1

1. The equation 10+r=2 10 + r = 2 is asking us to solve for r r .
2. This is a one-step linear equation with one solution.
3. The equation involves basic algebraic operations, specifically subtraction.

STEP 2

1. Understand the structure of the equation.
2. Isolate the variable r r by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

The equation 10+r=2 10 + r = 2 indicates that the sum of 10 10 and r r equals 2 2 .

STEP 4

To isolate r r , we need to remove 10 10 from the left side. We do this by subtracting 10 10 from both sides of the equation:
10+r−10=2−10 10 + r - 10 = 2 - 10

STEP 5

Simplify both sides of the equation:
r=−8 r = -8

STEP 6

Verify the solution by substituting r=−8 r = -8 back into the original equation:
10+(−8)=2 10 + (-8) = 2

STEP 7

Simplify the left side:
2=2 2 = 2
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
−8 \boxed{-8}

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