104k views
4 votes
Solve the equation for w.

4w + 2 + 0.6w = −3.4w − 6

No solution

w = 0

w = 1

w = −1

2 Answers

3 votes

Given that,

→ 4w + 2 + 0.6w = -3.4w - 6

Now the value of w will be,

→ 4w + 2 + 0.6w = -3.4w - 6

→ 4.6w + 2 = -3.4w - 6

→ 4.6w + 3.4w = -6 - 2

→ 8w = -8

→ w = -8/8

→ [ w = -1 ]

Hence, the value of w is -1.

User Ksice
by
5.7k points
4 votes

Answer:

w = -1

Explanation:

Given equation:


4w + 2 + 0.6w=-3.4w-6

Add 3.4w to both sides:


\implies 4w + 2 + 0.6w+3.4w=-3.4w-6+3.4w


\implies 4w + 2 + 0.6w+3.4w=-6

Subtract 2 from both sides:


\implies 4w + 2 + 0.6w+3.4w-2=-6-2


\implies 4w +0.6w+3.4w=-6-2

Combine the terms in w on the left side of the equation and subtract the numbers on the right side of the equation:


\implies 8w=-8

Divide both sides by 8:


\implies (8w)/(8)=(-8)/(8)


\implies w=-1

Therefore, the solution to the given equation is:


\boxed{w=-1}

User Pcans
by
6.3k points
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