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Math  /  Algebra

Question10. 11k+2=2411 k+2=24

Studdy Solution

STEP 1

1. The equation 11k+2=24 11k + 2 = 24 is asking us to solve for k k .
2. This is a two-step linear equation with one solution.
3. The equation involves basic algebraic operations, specifically subtraction and division.

STEP 2

1. Isolate the term containing the variable k k .
2. Solve for the variable k k by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing k k , subtract 2 from both sides of the equation:
11k+2−2=24−2 11k + 2 - 2 = 24 - 2

STEP 4

Simplify both sides:
11k=22 11k = 22

STEP 5

Now, divide both sides by 11 to solve for k k :
11k11=2211 \frac{11k}{11} = \frac{22}{11}

STEP 6

Simplify both sides:
k=2 k = 2

STEP 7

Check the solution by substituting k=2 k = 2 back into the original equation:
11(2)+2=24 11(2) + 2 = 24

STEP 8

Simplify the left-hand side:
22+2=24 22 + 2 = 24
24=24 24 = 24
Both sides are equal, confirming that the solution is correct.
The solution is:
2 \boxed{2}

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