Quiz 2 - Systems of Linear Equations

Solve the system.
 $x+y=-2$ 
 $3x-y=-2$  

•  $\left(3,-1\right)$  

•  $\left(-5,3\right)$  

•  $\left(-1,3\right)$  

•  $\left(-1,-1\right)$  

Vanessa wants to solve the system by using elimination.  Which of the following choices represents what Vanessa's first step should be?
 $x-3y=-10$  
 $x+2y=0$  

• Multiply one of the equations by -1.

• Multiply one equation by -2.

• Multiply one equation by 1.
  

• There is no solution.

What is the y-coordinate in the solution to this system?
 $-x-y=-3$  
 $2x+3y=8$  

• 0

• -2

• 2

• 1

Solve the system.
 $y=-3x+6$  

 $y=3x-6$  

• (0,2)

• (2,0)

• no solution

• infinite solutions

Solve the system.
 $-3x+4y=10$  

 $y=2x$  

•  $\left(2,4\right)$  

•  $\left(4,2\right)$  

•  $\left(-2,-4\right)$  

•  $\left(-4,-2\right)$  

Michael is solving a system of linear equations. He is not sure where he should start. Using the given system, identify the first step that Michael should take to solve the system.
 $y=2x+4$  
 $4x-y=-6$  

• Multiply the first equation by -2.

• Multiply the second equation by -4.

• Substitute (2x+4) in place of y in the second equation.

• Substitute (2x+4) in place of x in the second equation.

What is the x-coordinate in the solution to this system?
 $x+y=4$  
 $-x+3y=0$  

• 1

• 2

• 3

• 4

Solve the system.
 $-4x-3y=-12$  
 $4x+3y=12$  

• (0,3)

• (4,0)

• no solution

• infinite solutions

Solve the system.
 $4x-y=-1$  
 $-4x+y=5$  

• (0,1)

• (1,1)

• no solution

• infinite solutions

Which of the following systems would have the solution (6,3)?

• $y=x-3$
  $x+4y=10$

• $y=3x-15$
  $2x-y=9$
  

• $x=3$
  $y=6$
  

• $6x+3y=0$
  $3x+6y=12$