Systems of Equations Review

If a system of linear equations has infinitely many solutions, then the graph of the system is:

• intersecting lines

• perpendicular lines

• the same line

• parallel lines

When solving a system of equations by substitution, you should:

• look for coefficients that are reciprocals

• solve for x or y in one equation first

• look for coefficients that are the same or opposites

• always multiply by -1

If the result, when solving a system by either elimination or substitution, is $4=4$ , then the solution is:

• (4, 4)

• 0

• No Solution

• Infinite Solutions

If there are no solutions to a system of linear equations, then the graph of that system is:

• intersecting lines

• perpendicular lines

• the same line

• parallel lines

When solving a system by either elimination or substitution, what does the solution $2=10$ represent?

• parallel lines

• perpendicular lines

• intersecting lines

• the same line

If the solution to a system of equations is $\left(2,3\right)$ , what does that tell you about the graph of the system?

• The lines have a positive slope.

• It is the same line.

• They are parallel lines.

• The lines intersect at one point. 

Is the point $\left(1,-1\right)$ a solution to the following system of equations? 

 $3x-y=4$  
 $7x+2y=-5$  

• Yes

• No

• I have no idea.

Is the point $\left(2,1\right)$ a solution to the following system of equations? 

 $x+y=3$  
 $2x-3y=1$  

• Yes

• No

• I have no idea.