6=1/5w+7/5w−4
6=1/5w+7/5w−4
6 = 8/5w - 4
10 = 8/5w
10/(8/5) = W
To solve the equation 6 = 1/5w + 7/5w - 4, we need to find the value of w that makes the equation true.
Step 1: Combine like terms
Combine the two terms on the right-hand side of the equation by finding a common denominator:
6 = (1/5 + 7/5)w - 4
Simplify the fractions in parentheses:
6 = (8/5)w - 4
Step 2: Get rid of the fraction
To eliminate the fraction, we can multiply both sides of the equation by the denominator (5):
(5)(6) = (5)((8/5)w - 4)
Simplify the equation:
30 = 8w - 20
Step 3: Solve for w
To isolate w, we need to get rid of the constant term (-20) by adding 20 to both sides of the equation:
30 + 20 = 8w - 20 + 20
Simplify the equation:
50 = 8w
Next, divide both sides of the equation by 8 to solve for w:
50/8 = 8w/8
Simplify the division:
w = 6.25
So the solution to the equation 6 = 1/5w + 7/5w - 4 is w = 6.25.