Lesson 14: Solving More Systems | Unit 4: Linear Equations and Linear Systems

Multiple Choice

What are the values of x and y that solve the system of equations: y=6x, 4x+y=7?

• x = 1, y = 6
• x = 2, y = 12
• x = 0, y = 0
• x = 0.7, y = 4.2

Multiple Choice

Solve the system of equations: y=3x, x=-2y+70 and provide the values of x and y.

• x = 5, y = 15
• x = 20, y = 60
• x = 10, y = 30
• x = 0, y = 0

Multiple Choice

Which equation, together with $$y=-1.5x+3$$ , makes a system with one solution?

• $$y=-1.5x+6$$

• $$y=-1.5x$$

• $$2y=-3x+6$$

• $$2y+3x=6$$

• $$y=-2x+3$$

Multiple Choice

The system $$x-6y=4$$ , $$3x-18y=4$$ has no solution. Change one constant or coefficient to make a new system with one solution.

• Change the first equation to x - 6y = 0.
• Change the second equation to 3x - 18y = 5.
• Change the second equation to 3x - 18y = 4.
• Change the first equation to x - 6y = 5.

Multiple Choice

The system $$x-6y=4$$ , $$3x-18y=4$$ has no solution. Change one constant or coefficient to make a new system with an infinite number of solutions. Which change will achieve this?

• Change the first equation to x + 6y = 4.
• Change the second equation to 3x - 18y = 0.
• Change the second equation to 3x - 18y = 12.
• Change the first equation to x - 6y = 10.

Multiple Choice

Solve the system of equations: y=6x-8 and y=-3x+10. Provide the solution for the values of x and y.

• x = 3, y = 10
• x = 0, y = 6
• x = 2, y = 4
• x = 1, y = -2

Multiple Choice

What is the solution for x and y in the system of equations: ?

• x = 2, y = -2
• x = 0, y = -4
• x = 6/5, y = -14/5
• x = 1, y = -3

Multiple Choice

Solve the system of equations: y=-2x-20 and y=x+4 and find the values of x and y.

• x = -8, y = -4
• x = 2, y = 6
• x = 0, y = 4
• x = -10, y = -16

Multiple Choice

Solve the system of equations: y=-3x+13, y=-2x+1. What is the solution for x and y?

• (12, -23)
• (-1, 4)
• (0, 1)
• (5, 2)

Multiple Choice

A high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend?

• 30
• 50
• 60
• 40