Question

What is the solution to the equation? 1../ 13.5 + 5x = 20

What is the solution to the equation? 2..//-14x + 16 = -12

Solve for x.
-32x – 18 = -2

Solve for x.
4 + x/5 = -3

Answer 1

Hello!

The answers are:

1
`1.3`

2
`2`

3
`x=-(1)/(2)`

4
`x=-35`

Why?

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side.

So,

1 -

`13.5+5x=20\\5x=20-13.5=6.5\\x=(6.5)/(5)\\x=1.3`

2 -

`-14x+16=-12\\16+12=14x\\14x=16+12\\14x=28\\x=(28)/(14)=2`

3 - Solving for "x"

`-32x-18 = -2\\-18+2=32x\\32x=-18+2=-16\\32x=-16\\x=(-16)/(32)=-(1)/(2)`

4 - Solving for "x"

`4+(x)/(5)=-3\\(x)/(5)=-3-4\\(x)/(5)=-7\\x=(-7)*(5)=-35`

Have a nice day!

Answer 2

1.
`x=1.3`

2.
`x=2`

3.
`x=-(1)/(2)`

4.
`x=-35`

Explanation:

1. For the equation
`13.5 + 5x = 20`, subtract 13.5 from both sides of the equation:

`13.5 + 5x -13.5= 20-13.5\\5x=6.5`

And divide both sides by 5:

`(5x)/(5)=(6.5)/(5)\\\\x=1.3`

2. For the equation
`-14x + 16 = -12`, subtract 16 from both sides of the equation:

`-14x + 16 -16= -12-16\\-14x=-28`

And divide both sides by -14:

`(-14x)/(-14)=(-28)/(-14)\\\\x=2`

3. For the equation
`-32x - 18 = -2`, add 18 to both sides of the equation:

`-32x - 18+18 = -2+18\\-32x=16`

And divide both sides by -32:

`(-32x)/(-32)=(16)/(-32)\\\\x=-(1)/(2)`

4. For the equation
`4 + (x)/(5)= -3` subtract 4 from both sides of the equation:

`4 + (x)/(5)-4= -3-4\\\\(x)/(5)=-7`

And multiply both sides by 5:

`(5)((x)/(5))=-7(5)\\\\x=-35`