Solve for w.

1/3w + 5/6w - 2 = -w

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MATHTUTORSGO MATHTUTORSGO · Answer 1

Answer: [tex]w=\frac{12}{13}[/tex]

Step-by-step explanation:

To solve for w, we want to isolate the variable.

[tex]\frac{1}{3}w +\frac{5}{6}w-2=-w[/tex] [add both sides by 2 and w]

[tex]\frac{1}{3}w +\frac{5}{6}w+w=2[/tex] [convert to same denominator]

[tex]\frac{2}{6}w +\frac{5}{6}w+\frac{6}{6} w=2[/tex] [add]

[tex]\frac{13}{6} w=2[/tex] [multiply both sides by 6/13]

[tex]w=\frac{12}{13}[/tex]

Now we know that [tex]w=\frac{12}{13}[/tex].

JCHERRY99GO JCHERRY99GO · Answer 2

Answer:

Step-by-step explanation:

1/3w + 5/6w - 2 = -w Collect like terms on the left.

Before I do, I'm going to assume the question is (1/3)w + (5/6)w - 2 = - w

(1/3)w + (5/6)w - 2 = - w

1/3 + 5/6 = 2/6 + 5/6 = 7/6

(7/6)w - 2 = -w Add w to both sides

(7/6)w + w - 2 = 0 Combine the left

(7/6)w + 6/6 w - 2 = 0

(13 / 6) w - 2 = 0 Add 2 to both sides

(13/ 6) w = 2 Divide by 13/6

w = (2/1 ) ÷ (13/6) Invert the denominator and multiply

w = 2/1 * 6/13

w = 12/13