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

Answer:

a. $x=5.25$

b. $x=-0.33$

Step-by-step 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:

$\frac{4x}{4}=\frac{21}{4}\\\\x=5.25$

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:

$\frac{3x}{3}=\frac{-1}{3}\\\\x=-0.33$

Answer 2

Answer:

a: 5.25 b: -0.33

Step-by-step 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.