Math  /  Algebra

Question15) 21=7n21=7 n

Studdy Solution

STEP 1

1. The equation 21=7n 21 = 7n is asking us to solve for n n .
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically division.

STEP 2

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

STEP 3

The equation 21=7n 21 = 7n means that 7 7 times some number n n equals 21 21 .

STEP 4

To solve for n n , we need to isolate it. Since n n is multiplied by 7 7 , we perform the opposite operation, which is division. Divide both sides of the equation by 7 7 :
217=7n7 \frac{21}{7} = \frac{7n}{7}

STEP 5

Simplify both sides of the equation:
3=n 3 = n

STEP 6

To verify the solution, substitute n=3 n = 3 back into the original equation:
21=7(3) 21 = 7(3)
Check if both sides are equal.

STEP 7

Simplify the right-hand side:
21=21 21 = 21
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
3 \boxed{3}

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