Question

Translate then solve the algebraic equation for the following problems:

Fourteen less than 5 times a number is 1. Identify the integer.

When the sum of a number and 3 is subtracted from 10 the result is 5. Identify the integer.

The sum of two consecutive integers is 139. Find the integers.

The sum of two even consecutive integers is 46. Find the integers.

The sum of three consecutive integers is 57. Find the integers.

Answer 1

Fourteen less than 5 times a number is 1. Identify the integer.
5x-14=1
5x=14+1
x=15/5
x=3
TO CHECK THE ANSWER INPUT THE VALUE IN THE PLACE OF X
5(3)-14=1
15-14=1
1=1. (BOTH SIDES EQUAL) ✔️

The sum of two consecutive integers is 139. Find the integers
(x) +(x+1)=139
x+x+1=139
2x=139-1
x=138/2
x=69
CHECK
69+69+1=139
138+1=139
139=139
(both sides equal) ✔️