Systems of Equations - Introduction

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

 $y=-x+5$  
 $y=6x-2$  

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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. $-8x-10=y$  
 $-4x+y=2$  

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Solve the following system of equations by graphing.

 $y=11x-6$  

 $y=-6x+11$  

•  $\left(-1,5\right)$  

•  $\left(1,7\right)$  

•  $\left(5,1\right)$  

•  $\left(1,5\right)$  

Solve the following system of equations by graphing.

 $2y+8x=58$ 

  $y-5x=11$ 

•  $\left(2,21\right)$  

•  $\left(21,2\right)$  

•  $\left(4,20\right)$  

•  $\left(1,21\right)$  

Solve the following system of equations by graphing.

 $y=3x-8$  
 $y=-9x+4$  

•  $\left(-5,1\right)$  

•  $\left(-1,-5\right)$  

•  $\left(1,-3\right)$  

•  $\left(1,-5\right)$  

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

• intersecting lines

• parallel lines

• skew lines

• same line

Based on the graph of the following system, determine the solution.

• $\left(4,2\right)$

• $\left(1,4\right)$

• $\left(2,4\right)$

• no solution

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Two lines have the following equations:

 $4x+3y=7$ 

  $x+2y=-2$ 

At what point do the intersect? 

•  $\left(1,1\right)$  

•  $\left(0,-1\right)$  

•  $\left(4,-3\right)$  

•  $\left(6,-4\right)$  

Which of the following graphs best represents a system of equations that has no solution?

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Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the value of x in the solution to the system of equations below?

 $6x+3y=33$  

 $3x-y=4$  

•  $1$  

•  $5$  

•  $3$  

• None of these