Lesson on Solving Systems

Solving Systems

Book 9

it makes both equations true

(3,2) is a solution to a system of equations IF

Multiple Choice

Is the point (2, -1) a solution to the systems of equations below?

y = 5x + 3

y = -2x - 4

• Yes

• No

Multiple Choice

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

Multiple Choice

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

Multiple Choice

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

• yes

• no

Multiple Choice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Multiple Choice

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Multiple Choice

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

Multiple Choice

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

Multiple Choice

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Multiple Choice

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Replace Choosing the method

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Happy teaching!

Multiple Choice

What is the best method to use?

−4x − 2y = −12

4x + 8y = −24

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.

Multiple Choice

What is the best method to use?

2x − 3y = −1

y =x − 1

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.

Multiple Choice

Should you use the Substitution or Elimination method to solve this system of equations?

• Substitution

• Elimination

Multiple Choice

Which is the best method for solving this system of equations?

-4x-2y=-12

4x+8y=-24

• Substitution

• Elimination

• Graphing

Multiple Choice

Which two methods are appropriate for solving this system of equations?

• Substitution or Elimination

• Graphing or Substitution

• Elimination or Graphing

Multiple Choice

Which is the most efficient method for solving the following system?   $$3x+y=1$$   $$4x+y=2$$  

• Substitution

• Elimination

• Graphing