Strategies for Solving Systems of Equations

What is the substitution method for solving a system of equations?

• The substitution method for solving a system of equations involves graphing the equations and finding their intersection point.

• The substitution method for solving a system of equations involves solving both equations simultaneously.

• The substitution method for solving a system of equations involves multiplying both equations by the same constant and then adding them together.

• The substitution method for solving a system of equations involves solving one equation for one variable and then substituting that expression into the other equation.

When should the substitution method be used to solve a system of equations?

• When one equation can be solved for one variable in terms of the other variable.

• When the system of equations has exactly one solution.

• When the system of equations has infinitely many solutions.

• When the system of equations has no solution.

What is the elimination method for solving a system of equations?

• The elimination method involves graphing the equations and finding the intersection point.

• The elimination method involves multiplying the equations to eliminate one variable and solve for the other.

• The elimination method involves adding or subtracting the equations to eliminate one variable and solve for the other.

• The elimination method involves substituting one equation into the other to solve for the variables.

When should the elimination method be used to solve a system of equations?

• When the coefficients of one variable in both equations are the same.

• When the coefficients of one variable in both equations are additive inverses of each other.

• When the coefficients of one variable in both equations are positive.

• When the coefficients of one variable in both equations are equal to zero.

Which method would be most efficient: 2x + 3y = 8 y = -2x +5

• substitution

• equal values

• elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• substitution

• elimination

• equal values

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Given this system of equations, what is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

• elimination

• substitution

• equal values