Solving Systems of Equations

The video tutorial by Ricky Ricardo reviews methods for solving systems of linear equations, including graphing, substitution, and elimination. Each method is explained with examples, and a homework assignment is provided for practice.

What are the three methods reviewed for solving systems of linear equations?

• Graphing, Addition, Subtraction

• Graphing, Substitution, Elimination

• Elimination, Graphing, Division

• Substitution, Division, Multiplication

When graphing a line, what is the first step to find the intercepts?

• Set x to zero and y to one

• Set x and y to zero

• Set x to one and y to zero

• Set x and y to one

What is the solution to the system where the lines intersect at (2, -3)?

• (2, -3)

• (-2, 3)

• (3, 2)

• (3, -2)

What is the first step in solving a system by graphing?

• Find the intercepts

• Multiply the equations

• Add the equations

• Subtract the equations

What is the slope of a line if it goes down 3 and right 1?

• 1

• -1

• 3

• -3

In the substitution method, what do you do after substituting one variable?

• Distribute and combine like terms

• Graph the equation

• Add the equations

• Multiply the equations

What is the result of substituting y = -1 into x = y + 3?

• x = 1

• x = -1

• x = -2

• x = 2

In substitution, what do you do after finding the value of one variable?

• Divide by the coefficient

• Plug it back into the original equation

• Graph the result

• Multiply by another variable

What is the result of combining 2y and -y?

• -y

• 3y

• y

• 0

What is the first step in the elimination method?

• Multiply the equations

• Subtract the equations

• Divide the equations

• Add the equations to eliminate a variable