Question

Solve the equation for w.

4w + 2 + 0.6w = −3.4w − 6

No solution

w = 0

w = 1

w = −1

Answer 1

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.

Answer 2

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}`