Systems of Equations

Solving Systems of Equations: Linear Systems

Systems of Linear Equations.

You can solve Systems of Linear Equations by Graphing and finding the Intersections.

A System of Linear Equations can have 1 solution - no solutions - or infinitely many solutions (Depending on how many times they intersect).

Subject | Subject

Some text here about the topic of discussion

Different types of solutions

1. One solution: The solution is where the points intersect

2. No solution: The lines will never intersect so this system does not have an answer

3. Infinite solutions: The lines have the same equation.

Multiple Choice

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Multiple Choice

Solve the following system of Equations. What is the solution?

• (1, 2)

• (-1, 2)

• (2, 1)

• (2, -1)

Multiple Choice

Solve the System of Equations:

8x + 4y = 12

y = -2x + 6

• (0,3)

• (3,0)

• No solution

• Infinitely many solutions

Multiple Choice

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Multiple Choice

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Dropdown

This system will have​ ​

Select answer

solution(s).

Match

Match the following graphs to the correct type of solutions

No solutions

Infinitely Many Solutions

One Solution

• No solutions

• Infinitely Many Solutions

• One Solution

Multiple Choice

How many solutions does this system have?

y = 2x + 1

y = 4x - 1

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

How many solutions does this system of equations have?

8x + 4y = 12

y = -2x + 3

• 2

• 1

• No solutions (parallel lines)

• Infinitely many solutions

Read Directions Carefully.

Sometimes you may be asked for only one of the variables in the solution or you could be asked for the # of solutions or the actual solutions.

Be sure to read the question carefully, so that you understand what you are being asked to do.

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

What is the x - coordinate of the solution:

3x + 2y = 16

7x + y = 19

• -5

• -2

• 5

• 2

Multiple Choice

What is the y - coordinate of the solution?

• -4

• 4

• 0

• 5