Question 928206
x = number of nickels
y = number of dimes
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x + y = 14
5x + 10y = 110
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put the system of linear equations into standard form
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x + y = 14
5x + 10y = 110
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copy and paste the above standard form linear equations in to this solver:
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solution:
x = number of nickels = 6
y = number of dimes = 8
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by elimination:
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-10(x + y = 14)
5x + 10y = 110
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-10x - 10y = -140
5x + 10y = 110
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add the two equations:
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-5x = -30
x = 6
x + y = 14
y = 14 - x
y = 14 - 6
y = 8
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solution by elimination:
x = number of nickels = 6
y = number of dimes = 8
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by substitution:
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x + y = 14
y = 14 - x
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5x + 10y = 110
5x + 10(14 - x) = 110
5x + 140 - 10x = 110
-5x = -30
x = 6
y = 14 - x
y = 14 - 6
y = 8
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solution by substitution:
x = number of nickels = 6
y = number of dimes = 8
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by graphing:
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line A:
x + y = 14
y = -x + 14
slope = -1
y-intercept = (0,14)
graph it ...
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line B:
5x + 10y = 110
10y = -5x + 110
y = (-5x + 110)/10
y = (-5/10)x + (110/10)
y = (-1/2)x + 11
slope = -1/2
y-intercept = (0,11)
graph it ...
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the graphs of the lines intercept at the point (6,8)
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solution by graphing:
x = number of nickels = 6
y = number of dimes = 8
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Solve systems of linear equations up to 6-equations 6-variables:
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