Systems of Equations One Solution No Solution

Jane is practicing solving systems of equations by inspection. She thinks that y = 5/6x + 2 and y = 5/6x – 2 would have exactly one solution. Is she correct? Why or why not?

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Does the system have one, none or infinite solutions?

y = 2x -11

y = 2x +5

• One

• None

• Infinitely many solutions

What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

a solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

How many solutions does the system of equations have?

• one solution

• no solutions

• infinetly many solutions

• you cannot graph two lines

What is the solution to the system?

• (-1, -2)

• (-2,-1)

• (-2, -2)

• (-1, -3)