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Linear Equations and Systems of Equations with Parameters

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Please help with the following problems. Provide step by step calculations.

Find the slope of each line that has a slope
x=5y

Find an equation in the form y=ms +b (where possible) for each line.
Through (3,-5) parallel to y= 4

Graph each linear equation defined as follows;
3x - 5y =15

Solve each system of equation. Let z be the parameter.
x+2y +3z=11
2x- y + z +2

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Solution Summary

The following posting helps with an algebra problem. Linear equations and systems of equations with parameters are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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In the cannonical form y= mx+b, the value of m represents the slope of the line. The value of b is called the "y-axis intercept" (the value of teh function when x=0)

Thus:

x = 5y

5y = x

y = 1/5 * x

The slope of the line x =5y is m=1/5

Parallel lines have the same slope.

In our case y = 4 means that the slope (m) is zero. This is a line which is parallel to ...

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