A linear equation in two variables is of the form: ax + by = c. This type of equation has a solution that is generally reported using an ordered pair (x,y). We can choose a value for one of the variables and solve to find the other. Using this method, we can create a table of ordered pairs that satisfy the equation.
Test Objectives:•Demonstrate the ability to check a proposed ordered pair solution
•Demonstrate the ability to create an ordered pair solution
•Demonstrate the ability to create a table of ordered pairs
Linear Equations in two Variables:
#1:
Instructions: Determine if each ordered pair is a solution to the linear equation in two variables.
a) 5x + 4y = -12 : (6,4) : (4,-8)
#2:
Instructions: Determine if each ordered pair is a solution to the linear equation in two variables.
a) x - y = 1 : (2,3) : (-5,-6)
#3:
Instructions: Determine if each ordered pair is a solution to the linear equation in two variables.
a) 5x - 3y = -3 : (0,1) : (4,-3)
#4:
Instructions: Complete each table of values.
a) 10y - 50 = 4x
x | y |
---|---|
__ | 2 |
0 | __ |
__ | 3 |
-10 | __ |
#5:
Instructions: Complete each table of values.
a) -15x = 3y
x | y |
---|---|
__ | 4 |
6 | __ |
__ | -2 |
1 | __ |
Written Solutions:
Solution:
a) (6,4) no : (4,-8) yes
Solution:
a) (2,3) no : (-5,-6) yes
Solution:
a) (0,1) yes : (4,-3) no
Solution:
a) (-15/2,2) (0,5) (-5,3) (-10,1)
Solution:
a) (-4/5,4) (6,-30) (2/5,-2) (1,-5)