Write an equation to represent the number puzzle. Use x as the

variable. Then find the solution using guess-check-and-improve.

6 times a number, plus 2, is equal to 7 added to 4 times the number.

What is the number?

a. 6x + 2 = 7 + 4x, 3
b. 6x + 2 = 7 + 4x, 2.5
c. 6x + 2 = 7 + 4x, 2
d. 6x − 2 = 7 + 4x, 4.5

Awork system has five stations that have process times of 5, 9, 4, 9, and 8. what is the throughput time of the system?

Create a real-life situation and create a system and show how it might be modeled algebraically with a system of equations (or inequalities) show all work include a few sentences explaining the situation, your variables of choice and what each represents, and how you would set it up and solve it algebraically. !

Which equation represents the line that passes through the points and (4, 10) and (2, 7)? y = 3/2x - 11y = 3/2x +4y = - 3/2x + 19y = - 3/2x + 16