Intro to System of Linear Equations

Is (0, 3) a solution

2x - 3y = 5

4x + y = 3

• Yes

• No

Is (1, -1) a solution

2x - 3y = 5
4x + y =3

• Yes

• No

Is ( -3, -2) a solution

y = 2x +4

y= -1/3 x - 3

• Yes

• No

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

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

• Ordered Pair

• Right Answer

• Variable

• Number

Is (1,9) a solution for the following System? Explain why or why not. y = 5x + 4 y = -6x + 15

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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