SOLUTION: My son is doing a worksheet called Solving Special Systems of Linear Equations, the Essential Question is "Can a system of linear equations have no solution? Can a system of linear

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Question 847543: My son is doing a worksheet called Solving Special Systems of Linear Equations, the Essential Question is "Can a system of linear equations have no solution? Can a system of linear equations have many solutions?"
The Activity is "Your cousin is 3 years older than you. Your ages can be represented by two linear equations."
y = t Your age
y = t + 3 Your cousin's age
(there is a graph with 0 to 12 in the y axis and 0 to 12 in the x axis next to the problem and there are 3 questions)
a. Graph both equations in the same coordinate plane.
b. what is the vertical distance between the two graphs? What does the distance represent?
c. Do the two graphs intersect? Explain what this means in terms of your age and your cousins age.
Can you help us out?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Activity is "Your cousin is 3 years older than you. Your ages can be represented by two linear equations."
y = t Your age
y = t + 3 Your cousin's age
(there is a graph with 0 to 12 in the y axis and 0 to 12 in the x axis next to the problem and there are 3 questions)
a. Graph both equations in the same coordinate plane.
graph%28400%2C400%2C-10%2C12%2C-10%2C12%2Cx%2Cx%2B3%29
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b. what is the vertical distance between the two graphs? What does the distance represent?
Ans: 3 ; your cousin is 3 years old than you.
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c. Do the two graphs intersect?
No, they are parallel.
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Explain what this means in terms of your age and your cousins age.
Your cousin's age will always be 3 more than your age.
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Cheers,
Stan H.
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