SOLUTION: John made 3 more free throws than Jose. The combined total of the number of free throws they made is 25. How many free throws did each boy make?

Question 827401: John made 3 more free throws than Jose. The combined total of the number of free throws they made is 25. How many free throws did each boy make?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = john's free throws
y = jose's free throws
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x = y + 3
x + y = 25
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put the system of linear equations into standard form:
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x - y = 3
x + y = 25
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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
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solution:
x = john's free throws = 14
y = jose's free throws = 11
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system matrix
1 -1
1 1
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inverse of system matrix
0.5 0.5
-0.5 0.5
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determinant of system matrix = 2
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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