<PRE><B>Question 825368</B>
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x = nickels
y = dimes
z = quarters
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z = y + 2
x = 3z
5x + 10y + 25z = 730
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put the system of linear equations into standard form
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y - z = -2
x - 3z = 0
5x + 10y + 25z = 730
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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 = nickels = 45
y = dimes = 13
z = quarters = 15
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system matrix
0 1 -1
1 0 -3
5 10 25
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inverse of system matrix
-0.6 0.7 0.06
0.8 -0.1 0.02
-0.2 -0.1 0.02
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determinant of system matrix = -50
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 4-equations 4-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php</PRE>