Algebra Examples

Find Three Ordered Pair Solutions
f(x)=3x-5
Step 1
Write f(x)=3x-5 as an equation.
y=3x-5
Step 2
Choose any value for x that is in the domain to plug into the equation.
Step 3
Choose 0 to substitute in for x to find the ordered pair.
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Step 3.1
Remove parentheses.
y=3(0)-5
Step 3.2
Simplify 3(0)-5.
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Step 3.2.1
Multiply 3 by 0.
y=0-5
Step 3.2.2
Subtract 5 from 0.
y=-5
y=-5
Step 3.3
Use the x and y values to form the ordered pair.
(0,-5)
(0,-5)
Step 4
Choose 1 to substitute in for x to find the ordered pair.
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Step 4.1
Remove parentheses.
y=3(1)-5
Step 4.2
Simplify 3(1)-5.
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Step 4.2.1
Multiply 3 by 1.
y=3-5
Step 4.2.2
Subtract 5 from 3.
y=-2
y=-2
Step 4.3
Use the x and y values to form the ordered pair.
(1,-2)
(1,-2)
Step 5
Choose 2 to substitute in for x to find the ordered pair.
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Step 5.1
Remove parentheses.
y=3(2)-5
Step 5.2
Simplify 3(2)-5.
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Step 5.2.1
Multiply 3 by 2.
y=6-5
Step 5.2.2
Subtract 5 from 6.
y=1
y=1
Step 5.3
Use the x and y values to form the ordered pair.
(2,1)
(2,1)
Step 6
These are three possible solutions to the equation.
(0,-5),(1,-2),(2,1)
Step 7
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