Write an equation to represent each relationship. Then solve the equation. 1. Ten less than 3 times a number is the same as the number plus 4.
2. Six times a number plus 4 is the same as the number minus 11.
3. Sandy is upgrading her Internet service Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month. Write and solve an equation that can be used to find the number of months at which the Internet service would cost the same.

7

Step-by-step explanation:

Ten less than 3 times a number can be represented as 3n - 10 the number plus 4 is represented as n + 4 the same as means equal so 3n - 10 = n  + 4 so combine terms by subtracting an "n" from both sides and adding 10 to both sides so the left side becomes 2n and it equals the right side which becomes 14 so 2n = 14 so n = 7 CHECK YOUR ANSWER BY PLUGGING 7 IN FOR THE NUMBER IN THE ORIGINAL QUESTION 10 LESS THAN 3 x 7 GIVES YOU 11 AND 7 + 4 ALSO GETS YOU 11 SO YOU KNOW THAT 7 IS THE CORRECT ANSWER :) BY lol

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: