Solving Systems of Equations by Graphing Substitution and Elimination

How many solutions does this system have _____ ? Explain.

• none

• 1

• 2

• Infinitely many

Solve the system of equations. Show all your work here and then choose the right answer.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Solve the system of equations. Show all work here then choose the correct answer.

• (-23, 4)

• (-4, -3)

• (-2, -4)

• No solution

• Infinite solutions

Solve the system of equations. Show your work here and then choose the correct answer.

• (-34, -17)

• (8, 4)

• (10, 20)

• No solution

• Infinite solutions

Solve the following systems of equations using elimination

4x+9y=28

-4x-y=-28

Show your work here. Then choose the correct answer.

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve the following systems of equations using elimination -5x + 5y = -5 x - 5y = -7 Show your work and then choose the correct answer.

• (3, 2)

• (-1, 3)

• Infinite solutions

• No solutions

Solve the system of equations by graphing. Draw the graph and then choose the correct answer.

• (2, 1)

• No Solution

• Infinitely Many Solutions

• (1, 2)

A method of solving a system of equations by taking a variable out and replacing it with an expression is called __________.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

If a system of equations has no solution, what does the graph look like? Draw the graph to match your selection.

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing