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Math  /  Algebra

QuestionSolve and check. w=□w=\square

Studdy Solution

STEP 1

1. The equation 6−5w=−4 6 - 5w = -4 is asking us to solve for w w .
2. This is a two-step linear equation.
3. The equation involves basic algebraic operations, specifically subtraction and division.

STEP 2

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

STEP 3

To isolate the term containing w w , subtract 6 from both sides of the equation:
6−5w−6=−4−6 6 - 5w - 6 = -4 - 6
Simplify both sides:
−5w=−10 -5w = -10

STEP 4

Now, divide both sides by −5-5 to solve for w w :
−5w−5=−10−5 \frac{-5w}{-5} = \frac{-10}{-5}
Simplify both sides:
w=2 w = 2

STEP 5

Check the solution by substituting w=2 w = 2 back into the original equation:
6−5(2)=−4 6 - 5(2) = -4
Simplify the left-hand side:
6−10=−4 6 - 10 = -4
−4=−4 -4 = -4
Both sides are equal, confirming the solution is correct.
The solution is:
w=2 w = \boxed{2}

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