How can the equation 3r+5=14 be solved and the solution checked.

Expert Answers
justaguide eNotes educator| Certified Educator

Solving the equation 3r + 5 = 14 gives:

3r + 5 = 14

=> 3r = 14 - 5

=> 3r = 9

=> r = 9/3

=> r = 3

To check the final result substitute the value of r obtained in the initial equation. Both the sides should math. Doing the same gives 3*3 + 5 = 14 on the left hand side and the right hand side is also 14.

zumba96 | Student

3r+5=14

Solve for r

3r=14-5

3r=9

Divide by 3

r=3

Now plug it in to check

3(3)+5=14

9+5=14

taangerine | Student

3r+5=14

To solve:

  • Rewrite: 3r+5=14
  • Opposite operation for addition? (Subtraction) -- subtract 5 from both sides: 3r=9
  • Opposite operation for multiplication? (division) -- divide 3 from both sides to isolate r: `(3r)/3 = 9/3`
  • Simplify: r=3

To check:

  • Plug-in 3 for r in the given equ: 3(3)+5=14
  • Solve left side using PEMDAS: 3(3)=9+5= 14
  • Since it equals 14 on the left side & it equals 1 on the right side, the statement is true
  • 14=14
jess1999 | Student

 3r + 5 = 14

To solve this first subtract both sides by 5

By subtracting both sides by 5 , you should get

3r = 9 now divide both sides by 3

By dividing both sides by 3 , you should get

r = 3 which is your answer

Now to check : 

Plug 3 as " r " 

3 × 3 + 5 = 14 

9 + 5 = 14

14 = 14

Access hundreds of thousands of answers with a free trial.

Start Free Trial
Ask a Question