Solving Systems of Equations W/Video

What is the result of adding two equations if none of the variables cancel out?

• No variables are eliminated

• The equations become undefined

• Both variables are eliminated

• One variable is eliminated

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

• Multiply one or both equations

• Add the two equations directly

• Graph the equations

• Substitute one variable into the other equation

What does a solution like (2, 3) represent in a system of equations?

• The point where the two lines are parallel

• An error in calculation

• The point where the two lines overlap

• The point where the two lines intersect

What does it indicate if adding two equations results in a statement like 0 = 22?

• The equations are undefined

• The system has one solution

• The system has no solution

• The system has infinite solutions

What indicates that two lines are parallel when solving systems of equations?

• Ending up with an equation like 0 = 22

• Ending up with an equation like 0 = 0

• Both variables being eliminated simultaneously

• Getting a solution like x = 2

What does it mean when two equations result in 0 = 0 after elimination?

• The lines are parallel

• The lines are the same, leading to infinite solutions

• The lines intersect at one point

• The equations are incorrect

In the context of systems of equations, what does an infinite number of solutions imply?

• There is a mistake in the calculation

• The equations form parallel lines

• The equations are inconsistent

• The equations represent the same line

How do you find the lowest common multiple for eliminating a variable in a system of equations?

• Add the coefficients of the variables

• Multiply the coefficients of the variables

• Find a number both coefficients divide into evenly

• Subtract the coefficients of the variables

How can you verify the solution of a system of equations?

• By substituting the solution back into one equation

• By substituting the solution back into both equations

• By graphing the equations

• By checking if the equations are parallel

What does it mean if after eliminating one variable, you can solve for the other variable?

• The equations are inconsistent

• The system has infinite solutions

• The system has exactly one solution

• The system has no solution