SOLUTION: You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets. a. Write a system

Question 828307: You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets.
a. Write a system of linear equations that represents this situation.
b. How many tickets do each of you sell?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = you sold
y = friend sold
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x + y = 58
x = y + 14
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put the system of linear equations into standard form:
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x + y = 58
x - y = 14
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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 = you sold = 36
y = friend sold = 22
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system matrix
1 1
1 -1
---
inverse of system matrix
0.5 0.5
0.5 -0.5
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determinant of system matrix = -2
---
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
---
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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