Solving Systems of Equations

This video tutorial covers solving systems of equations using the elimination method. It begins with an introduction to the method, followed by several examples demonstrating how to apply it. The tutorial also addresses how to handle cases where variables do not automatically cancel out and applies the method to word problems. The video concludes with a practice problem involving the Baxter and Farley families at a fair, reinforcing the concepts taught.

Which method involves finding the intersection point of two lines?

• Elimination

• Graphing

• Substitution

• Factoring

What is the first step in the elimination method?

• Align terms and eliminate a variable

• Substitute one equation into the other

• Graph the equations

• Solve for one variable

In the elimination method, what do you do if terms do not automatically cancel out?

• Use a calculator

• Graph the equations

• Ignore the terms

• Manipulate the equations to create opposites

What is the purpose of multiplying an equation by a negative in the elimination method?

• To solve for x

• To create opposite terms for elimination

• To change the variable

• To make the equation longer

When setting up equations from a word problem, what is the first step?

• Solve for x

• Multiply the equations

• Identify the variables

• Graph the equations

In a word problem, if you have two unknowns, what should you do?

• Guess the values

• Use only one equation

• Set up a system of equations

• Ignore one unknown

What is the cost of a pair of snowshoes at Top Sports in the example problem?

• $79.50

• $89.00

• $39.25

• $54.50

How do you determine the number of items to buy in a word problem?

• By asking the teacher

• By guessing

• By setting up and solving equations

• By using a calculator

What is the final step in solving a system of equations by elimination?

• Graph the solution

• Divide the equations

• Check the solution in the original equations

• Multiply the equations

In the practice problem, what is the price of a juice drink?

• $1.95

• $1.50

• $1.25

• $2.00