Question

each equation and the solution is 1 point for each. Round the solution to two decimal places. a. 4x – 5 = 16 b. 35 + 3x – 11 = 23

Answer 1

a: 5.25 b: -0.33

Explanation:

a:

4x - 5 = 16

isolate the variable. this is done by putting only the variable on the left side and the numbers on the right side. when moving the 5 to the right side, it is counted as a -5 because of the minus in front. when moving it, be sure to change from - to + and vice versa.

4x = 16 + 5

4x = 21

x = 21/4

x = 5.25

b:

same process

35 + 3x - 11 = 23

move the 35 to the right, changing it to a -35

3x - 11 = 23 - 35

move the -11

3x = 23 - 35 + 11

3x = -12 + 11

3x = -1

x = -1/3

x = -0.33

Hope I could help! If you have any trouble, tell me in the comments.

Answer 2

a.
`x=5.25`

b.
`x=-0.33`

Explanation:

You need to solve for the variable "x" in each equation. Then:

a. You need to add 5 to both sides of the equation:

`4x - 5 +(5)= 16+(5)\\\\4x= 21`

Now you need to divide both sides of the equation by 4, getting:

`(4x)/(4)=(21)/(4)\\\\x=5.25`

b. You need to subtract 35 from both sides of the equation:

`35 + 3x - 11-(35)= 23-(35)\\\\3x-11=-12`

Add 11 to both sides:

`3x-11+(11)=-12+(11)\\\\3x=-1`

Now you need to divide both sides of the equation by 3, getting:

`(3x)/(3)=(-1)/(3)\\\\x=-0.33`