Apply Solve System of Equations by Graphing

Solve the following system of equations by graphing.

–4x + 3y = –12

–2x + 3y = –18

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What is the solution to a system? Choose all that apply.

• An ordered pair that makes both equations true.

• An ordered pair that makes one equation true.

• The point where the graphs meet (touch).

• The points on the graphs where they touch the y-axis.

What type of lines result in one solution when graphing a system of equations?

• parallel lines

• intersecting lines

• coinciding lines (lines that lie on top of one another)

• no lines

What type of lines result in infinitely many solutions when graphing a system of equations?

• parallel lines

• intersecting lines

• coinciding lines (lines that lie on top of one another)

• no lines

What type of lines result in no solution when you graph a system of equations?

• parallel lines

• intersecting lines

• coinciding lines (lines that lie on top of one another)

• no lines

Solve the system above.

• (-1,1)

• (1,-2)

• (1,-1)

• (0.5,2)

Solve the system above.

• (1,5)

• (5,-2)

• (-2,5)

• (5,1)

What is a system of equations?

• Three equations with one variable.

• One equation that can be solved.

• A set of things working together as parts of a mechanism or an interconnecting network

• Two (or more equations) that share variables.

What types of solutions are there when solving systems of equations? Select all that apply.

• One Solution

• Two Solutions

• No Solution

• Infinitely Many Solutions

• Three Solutions

What do you call "more than one equation"?

• equivalent

• algebraic expression

• System of equations

• System of inequalities