<PRE><B>Question 828383</B>
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x = dimes
y = quarters
z = dollars
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10x + 25y + 100z = 2550
y = 2z
y = x
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put the system of linear equations into standard form:
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10x + 25y + 100z = 2550
y - 2z = 0
x - y = 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
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solution:
x = dimes = 30
y = quarters = 30
z = dollars = 15
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system matrix
10 25 100
0 1 -2
1 -1 0
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inverse of system matrix
0.011764706 0.58823529 0.88235294
0.011764706 0.58823529 -0.11764706
0.0058823529 -0.20588235 -0.058823529
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determinant of system matrix = -170
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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 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
</PRE>