Solving Systems of Equations

The video tutorial explains how to solve a system of linear equations representing ticket sales for a high school talent show. It introduces two methods: elimination and substitution, and demonstrates the substitution method to find the number of student and adult tickets sold. The solution reveals that 100 student tickets and 50 adult tickets were sold.

What do the variables x and y represent in the system of equations?

• x is the number of adult tickets, y is the number of student tickets

• x is the profit, y is the total number of tickets

• x is the number of student tickets, y is the number of adult tickets

• x is the total number of tickets, y is the profit

Which method involves adding equations to eliminate a variable?

• Matrix method

• Elimination method

• Graphical method

• Substitution method

In the substitution method, what is the first step after rewriting the second equation?

• Graph the equations

• Solve for y directly

• Add the equations together

• Substitute the expression for y into the first equation

What is the equation obtained after substituting y in the first equation?

• x + y = 150

• 7x + 5y = 950

• 7x + 5(150 - x) = 950

• 7x - 5x = 200

After simplifying the equation, what is the value of x?

• x = 200

• x = 100

• x = 150

• x = 50

What is the final step to find the value of y?

• Add x and y

• Substitute x back into the first equation

• Multiply x and y

• Substitute x back into the second equation

What is the value of y after substituting x = 100?

• y = 200

• y = 50

• y = 150

• y = 100

How many student tickets were sold?

• 50

• 200

• 100

• 150

How many adult tickets were sold?

• 100

• 50

• 200

• 150