Question 826992: The number of tickets Cynthia sold is 12 less the number Holly sold. Together they sold 114. How many tickets did Holly sell? Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
x = Holly number of tickets
y = Cynthia number of tickets
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y = x - 12
x + y = 114
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put the system of linear equations into standard form:
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x - y = 12
x + y = 114
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copy and paste the above linear system in standard form into this matrix-method solver:
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solution:
x = Holly number of tickets = 63
y = Cynthia number of tickets = 51
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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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