6-1: Intro to Systems of Equations

A solution of a System of Linear Equations is a (n)

• Ordered Pair

• Right Answer

• Variable

• Number

What does the solution of a System of Linear Equations represent?

• Point of Intersection of the graphs

• The Difference between the Slopes

• The Product after using Inverse Operations

• The Right Answer

Which of the following represent a System of Linear Equations?

• $y=12x-9$

• $y=14x+8$ $3y+8x=30$

• $5y-2x=10$ $x=17$

• $y=4x+18$ $y=3w+4z$

• $y=-8x+10$

How do you check to see if an Ordered Pair is a solution to a System of Linear Equations?

• Plug in the x-value and y-value to see if each equation works

• Take a random guess

• Solve each equation for x and then use Inverse Operations

• Multiply the Slope of each line by the Constant of Proportionality

Is (1,9) a solution for the following System? Explain why or why not.

y = 5x + 4

y = -6x + 15

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The Ordered Pair (5,45) is a solution to which System of Linear Equations?

A System of Linear Equations has to have

• 2 or more Linear Equations

• with the same variables

• At least 1 Linear Equations 

• with any variables

Is (4, 5) a solution to the system of equations?
4x+y=21
-3x-6y=10

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Is (-2,7) a solution to the system of equations?
y=4x+15
-3x+5y=41

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Is (0, 16) a solution to the system of equations?
-3x=4y+2
2y=4x+32

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations