How to write the system of equations from a word problem

The video tutorial explains how to determine the cost of a child's movie ticket using a system of equations. The teacher introduces the problem, identifies variables, and sets up equations. The elimination method is used to solve for the child's ticket cost, with corrections made for calculation errors. The final solution reveals that a child's ticket costs $5.

What are the two variables used to represent the costs in the problem?

• x for total cost, y for number of tickets

• x for child ticket, y for adult ticket

• x for number of children, y for number of adults

• x for adult ticket, y for child ticket

Which method is suggested to solve the equations for the ticket prices?

• Trial and Error

• Elimination

• Substitution

• Graphing

What is the least common multiple (LCM) used to align the coefficients in the elimination method?

• 10

• 12

• 8

• 6

What mistake did the teacher initially make during the elimination process?

• Solved for y instead of x

• Used substitution instead of elimination

• Added the equations incorrectly

• Forgot to multiply the equations

What is the final cost of a child's ticket as determined in the video?

• $3

• $4

• $6

• $5