Solving Systems of Linear Equations

What is the best method for solving this system of linear equations?

 $x+y=5$  
 $2x-y=4$  

• Graphing

• Substitution

• Elimination

What is the best method for solving this system of linear equations?

 $y=2x+2$  
 $y=-x+5$  

• Graphing

• Substitution

• Elimination

What is the best method for solving this system of linear equations?

 $x=2y$  
 $2x-3y=5$  

• Graphing

• Substitution

• Elimination

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

• $\left(1,2\right)$

• $\left(-2,-3\right)$

• Infinitely many solutions

• No solution

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

• $\left(2,0\right)$

• $\left(0,4\right)$

• Infinitely many solutions

• No solution

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

• $\left(1,0\right)$

• $\left(-3,-2\right)$

• Infinitely many solutions

• No solution

Solve the system of equations by substitution.

 $y=4x+1$  

 $4x-y=7$  

What is the solution?

•  $\left(2,1\right)$  

•  $\left(2,9\right)$  

• Infinitely many solutions

• No solution

Solve the system of equations by substitution.

 $x=2y-5$  

 $-4x+4y=0$  

What is the solution?

•  $\left(-5,0\right)$  

•  $\left(5,5\right)$  

• Infinitely many solutions

• No solution

Solve the system of equations by elimination.

 $x+y=8$  

 $x-y=-2$  

What is the solution?

•  $\left(3,5\right)$  

•  $\left(2,6\right)$  

• Infinitely many solutions

• No solution

Solve the system of equations by elimination.

 $2x-y=16$  

 $5x+3y=-4$  

What is the solution?

•  $\left(4,-8\right)$  

•  $\left(2,-12\right)$  

• Infinitely many solutions

• No solution