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Please solve the equation and show work: (3/7)w - 11 = -(4/7)w.

a) w = 7
b) w = -7
c) w = 4
d) w = -4

User Kiriloff
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1 Answer

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Final answer:

After simplifying the given equation by combining like terms and isolating the variable w, the solution is found to be w = 11, which is not listed in the provided options.

Step-by-step explanation:

To solve the equation (3/7)w - 11 = -(4/7)w, we must first combine like terms. To do this, we add (4/7)w to both sides of the equation:

(3/7)w + (4/7)w - 11 = 0

Now we have a common denominator, so we combine the w terms:

(3/7 + 4/7)w - 11 = 0

(7/7)w - 11 = 0

Since 7/7 is equal to 1, we have:

w - 11 = 0

Now, we add 11 to both sides of the equation to solve for w:

w = 11

Thus, none of the provided options (a) w = 7, (b) w = -7, (c) w = 4, (d) w = -4 is correct. The correct answer is w = 11.

User Slobodan Savkovic
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