EOC Write & Solve Linear Systems

India graphed two lines in order to find the solution to a given system of equations.

What is the solution?

Solve the following system:

A phone company offers two monthly plans.

Plan A costs $20 plus an additional $0.12 for each minute of calls. Plan B costs $12 plus an additional $0.15 for each minute of calls.

What is the proper system of equations?

Alexandra finds that she can give 5 haircuts and 3 hair dyes in 315 minutes. Giving 2 haircuts and 6 hair dyes takes 450 minutes.  Which system of equations represents the situation?

When you graph the exact same line twice,

When the lines are parallel,

Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn she mows. Sarah earned $140 for mowing 6 lawns. Write a system of equations that could be used to find x, small lawns and y, large lawns Sarah mowed.

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spent $55 for 5 tigerfish and 10 goldfish. Write a system of equations that could be use the find t, the price of a tigerfish and g, the price of a goldfish.

Caitlin won a bag full of money at the fundraiser party! She won 49 bills that amounted to $1430. The bills consist of twenty dollar bills and fifty dollar bills. Using x for number of $20 bills and y for number of $50 bills, which systems would help determine how many of each bill Caitlin has?