System of Equations from Different Functions

Two equations of a system are listed. Which is a useful first step for solving the system?

• Substitute 2x from the second equation in for -4x in the first equation.

• Substitute 6y from the first equation in for 2x in the second equation.

• Substitute (2x - 3) from the second equation for y in the first equation.

• Substitute (-4x+6y) from the first equation for y in the second equation.

A system of equations is shown below. 2x + 4y = 7 x - 3y = 1 Which of the following describes the first two steps in correctly solving the system using the elimination method?

• Multiply the second equation by -7 and then add the two equations.

• Multiply the second equation by -2 and then add the two equations.

• Multiply the second equation by 2 and then add the two equations.

• Add -2 to the second equation and then add the two equations.

How many solutions?

6x + 2y = 3

12x + 4y = 6

• One Solution

• No Solution

• Infinite Solutions

How many solutions?

5x + 6y = 11

5x - 6y = 11

• One Solution

• No Solution

• Infinite Solutions

The graph of a system of equations is shown. The solution of the system is (_____, _____).

• (-1, 5)

• (-2, -4)

• (-3, 1)

• (1, -3)

How many solutions?

2x + 3y = 5

2x + 3y = 12

• One Solution

• No Solution

• Infinite Solutions

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution to this system?

How many solutions will this system have? 

• No solution

• One Solution

• Two Solutions

• Infinitely Many Solutions

• Parallel Lines

• Same Line 

• Intersecting Lines