Question

Monique's swimming pool filter needs repair. She calls two companies for prices. The
Pool Boyz charge $70 for a service call and $40/h for labour. Kemikal Balance charge
$50 for a service call and $45/h for labour.
a) Write a linear equation for each company.
b) Find the solution to this linear system

Answer 1

A) y = 70 + 40x, y = 50 + 45x

the first number is the initial service call charge, and the second number/slope is the rate per hour of the company, where x is the number of hours worked

B) x = 4

Since both equations are solved for y, you can set them equal to each other to get
70 + 40x = 50 + 45x

Solve for x to get x = 4.