Question

-12w+12=-7w+11 what value of w makes the equasion true? put the answer in the box

Answer 1

`w=(1)/(5)`

Explanation:

The given equation is

`-12w+12=-7w+11`

To get the value of w that makes the equation true,we first add 12w and -12 to both sides of the equation.

`-12w+12w+12-12 =-7w+12w- 12+11`

we simplify to get

`0=5w-1`

We then add 1 to both sides of the equation to get

`1=5w`

We then divide both sides of the equation by the coefficient of w

`\implies(1)/(5)=(5x)/(5)`

Therefore

`w=(1)/(5)`

Hence the value of w that makes the equation true is

`(1)/(5)`

Answer 2

Answer:
`w=(1)/(5)`

Explanation:

To know the value of the variable w that makes the equation true we must solve the equation

We have the following equation:

`-12w+12=-7w+11`

Add 12w on both sides of the equation

`-12w+12 +12w=-7w+12w+11`

`12=5w+11`

Now subtract 11 on both sides of the equation

`12-11=5w+11-11`

`1=5w`

`5w=1`

Divide by 5 on both sides of the equation

`(5)/(5)w=(1)/(5)`

`w=(1)/(5)`

The value of w that makes the equation true is:
`w=(1)/(5)`