SOLUTION: The larger of two numbers is 10 more than twice the smaller number. The smaller number is six less than the larger number. Find the numbers.

Question 828082: The larger of two numbers is 10 more than twice the smaller number. The smaller number is six less than the larger number. Find the numbers.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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y = 2x + 10
x = y - 6
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put the system of linear equations into standard form:
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2x - y = -10
x - y = -6
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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 = -4
y = 2
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system matrix
2 -1
1 -1
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inverse of system matrix
1 -1
1 -2
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determinant of system matrix = -1
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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
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