SOLUTION: Ashley drives 20 mph faster than Juan. While Ashley travels 240 miles and Juan travels 160 miles in the same time. How fast does each person drive?

Question 830475: Ashley drives 20 mph faster than Juan. While Ashley travels 240 miles and Juan travels 160 miles in the same time. How fast does each person drive?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = Ashley speed
y = Juan speed
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x = y + 20
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s = d/t
t = d/s
240/x = 160/y
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linear system:
x = y + 20
240y = 160x
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put the system of linear equations into standard form:
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x - y = 20
160x - 240y = 0
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = Ashley speed = 60 mph
y = Juan speed = 40 mph
---
Solve and graph linear equations:
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---
Solve quadratic equations, quadratic formula:
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---
Solve systems of linear equations up to 6-equations 6-variables:
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