Systems of Equations Process Questions

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

2x - 3y = 6
7x - 3y = -9

• (-3,-4)

• (3,4)

• (-4,-3)

• (4,3)

Select the ordered pair which is a solution of the following system of equations:
5x + 7 = 4y
2x - 1 = y + 1

• (5,8)

• (0,0)

• (-1,-5)

• (11,40)

• Multiply the second equation by 2 and the result to the first equation.

• Multiply the second equation by -2 and the result to the first equation.

• Multiply the first equation by 7 and the second equation by -5 and add the resulting equations.

• Multiply the first equation by -7 and the second equation by -5 and add the resulting equations.

The substitution method will be used to solve this system of equations.
Which equation would lead to a correct solution with this method?

What are the solutions to the system of equations below?

• x = 4 and y = -2

• x = 4 and y = 2

• x = -4 and y = 2

• x = -4 and y = -2

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

• 45 minutes

• 90 minutes
  2x + 4y = 315

• 60 minutes
  3x + 4y = 450

• 30 minutes

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1

• -1

• 3

• 4