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Solving Inequalities and Linear Systems of Equations

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1. Find the solution to the following system of linear equations:
3x + 4y = -8
y = -5x - 7

2. My friend is driving 55 mph, West, on Interstate 90 and he started from his home which is 75 miles west of mine. I leave at the same time, traveling West at a speed of 73 mph. Write 2 linear equations (one for me and one for my friend) that relate our distances away from my home versus time. (Hint: draw a little picture or diagram)

3. Solve the following absolute value inequality: ½ |x - 2| < 4

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Solution Summary

Solving inequalities and linear systems of equations is 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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1. You can use the substitution method here:
Substitute y = -5x-7 into the other equation:
3x + ...

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