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How can I solve this series of 8 equations with 4 variables?
The Next CEO of Stack OverflowHelp explain method to solve two equations in two unknowns where one of the variables has a square termHow to solve these simultaneous equations using any better way?How do I Solve this Seemingly Simple Set of Four Equations with Four Unknowns?How to use elimination to solve a system of equations with 3 variablesIs this possible to solve through algebra?How to solve a system of equations with variables multiplied to each other?Linear system: 3 variables, 2 equations w/o all variablesHow can I solve this non-linear system of equations?Is there a symbol for assigning an equation to a letterFind the area using simultaneous equations
$begingroup$
I have this series of equations and I would like to find a generic formula for S;
When;
p = 0, c = 0 and e = 0, S = 0
p = 0, c = 1 and e = 0, S = 5/7
p = 0, c = 0 and e = 1, S = 1/7
p = 0, c = 1 and e = 1, S = 6/7
p = 1, c = 1 and e = 1, S = 1
p = 1, c = 1 and e = 0, S = 4/7
p = 1, c = 0 and e = 1, S = 3/7
p = 1, c = 0 and e = 0, S = 2/7
I know when solving simultaneous equations that I need to eliminate a variable and substitute but I feel like I have too many equations here.
systems-of-equations
asked Mar 19 at 10:25
TaylrlTaylrl
1034
$endgroup$
|
show 7 more comments
$begingroup$
I have this series of equations and I would like to find a generic formula for S;
When;
p = 0, c = 0 and e = 0, S = 0
p = 0, c = 1 and e = 0, S = 5/7
p = 0, c = 0 and e = 1, S = 1/7
p = 0, c = 1 and e = 1, S = 6/7
p = 1, c = 1 and e = 1, S = 1
p = 1, c = 1 and e = 0, S = 4/7
p = 1, c = 0 and e = 1, S = 3/7
p = 1, c = 0 and e = 0, S = 2/7
I know when solving simultaneous equations that I need to eliminate a variable and substitute but I feel like I have too many equations here.
systems-of-equations
asked Mar 19 at 10:25
TaylrlTaylrl
1034
$endgroup$
1
$begingroup$
I do not see equations.
$endgroup$
– Claude Leibovici
Mar 19 at 10:26
2
$begingroup$
well is $s$ a linear function of the other $3$? then yeah you can find inconsistency by the 6th equation.
$endgroup$
– orange
Mar 19 at 10:32
1
$begingroup$
Referring to @orange's comment, if you look at most of the equations, you would first guess that $S = frac17(2p+5c+e)$, but then there are two equations (out of the eight) for which this fails ...
$endgroup$
– Matti P.
Mar 19 at 10:36
1
$begingroup$
@MattiP. yes. So there might be a non linear factor
$endgroup$
– orange
Mar 19 at 10:39
2
$begingroup$
Can you tell us about where the equations came from ? It might be that it would be more useful to fit an approximate solution, than to find an exact one.
$endgroup$
– Simon
Mar 19 at 10:41
|
show 7 more comments
$begingroup$
I have this series of equations and I would like to find a generic formula for S;
When;
p = 0, c = 0 and e = 0, S = 0
p = 0, c = 1 and e = 0, S = 5/7
p = 0, c = 0 and e = 1, S = 1/7
p = 0, c = 1 and e = 1, S = 6/7
p = 1, c = 1 and e = 1, S = 1
p = 1, c = 1 and e = 0, S = 4/7
p = 1, c = 0 and e = 1, S = 3/7
p = 1, c = 0 and e = 0, S = 2/7
I know when solving simultaneous equations that I need to eliminate a variable and substitute but I feel like I have too many equations here.
systems-of-equations
asked Mar 19 at 10:25
TaylrlTaylrl
1034
$endgroup$
I have this series of equations and I would like to find a generic formula for S;
When;
p = 0, c = 0 and e = 0, S = 0
p = 0, c = 1 and e = 0, S = 5/7
p = 0, c = 0 and e = 1, S = 1/7
p = 0, c = 1 and e = 1, S = 6/7
p = 1, c = 1 and e = 1, S = 1
p = 1, c = 1 and e = 0, S = 4/7
p = 1, c = 0 and e = 1, S = 3/7
p = 1, c = 0 and e = 0, S = 2/7
I know when solving simultaneous equations that I need to eliminate a variable and substitute but I feel like I have too many equations here.
systems-of-equations
systems-of-equations
asked Mar 19 at 10:25
TaylrlTaylrl
1034
asked Mar 19 at 10:25
TaylrlTaylrl
1034
asked Mar 19 at 10:25
TaylrlTaylrl
1034
asked Mar 19 at 10:25
TaylrlTaylrl
1034
asked Mar 19 at 10:25
TaylrlTaylrl
1034
1034
1
$begingroup$
I do not see equations.
$endgroup$
– Claude Leibovici
Mar 19 at 10:26
2
$begingroup$
well is $s$ a linear function of the other $3$? then yeah you can find inconsistency by the 6th equation.
$endgroup$
– orange
Mar 19 at 10:32
1
$begingroup$
Referring to @orange's comment, if you look at most of the equations, you would first guess that $S = frac17(2p+5c+e)$, but then there are two equations (out of the eight) for which this fails ...
$endgroup$
– Matti P.
Mar 19 at 10:36
1
$begingroup$
@MattiP. yes. So there might be a non linear factor
$endgroup$
– orange
Mar 19 at 10:39
2
$begingroup$
Can you tell us about where the equations came from ? It might be that it would be more useful to fit an approximate solution, than to find an exact one.
$endgroup$
– Simon
Mar 19 at 10:41
|
show 7 more comments
1
$begingroup$
I do not see equations.
$endgroup$
– Claude Leibovici
Mar 19 at 10:26
2
$begingroup$
well is $s$ a linear function of the other $3$? then yeah you can find inconsistency by the 6th equation.
$endgroup$
– orange
Mar 19 at 10:32
1
$begingroup$
Referring to @orange's comment, if you look at most of the equations, you would first guess that $S = frac17(2p+5c+e)$, but then there are two equations (out of the eight) for which this fails ...
$endgroup$
– Matti P.
Mar 19 at 10:36
1
$begingroup$
@MattiP. yes. So there might be a non linear factor
$endgroup$
– orange
Mar 19 at 10:39
2
$begingroup$
Can you tell us about where the equations came from ? It might be that it would be more useful to fit an approximate solution, than to find an exact one.
$endgroup$
– Simon
Mar 19 at 10:41
1
1
$begingroup$
I do not see equations.
$endgroup$
– Claude Leibovici
Mar 19 at 10:26
$begingroup$
I do not see equations.
$endgroup$
– Claude Leibovici
Mar 19 at 10:26
2
2
$begingroup$
well is $s$ a linear function of the other $3$? then yeah you can find inconsistency by the 6th equation.
$endgroup$
– orange
Mar 19 at 10:32
$begingroup$
well is $s$ a linear function of the other $3$? then yeah you can find inconsistency by the 6th equation.
$endgroup$
– orange
Mar 19 at 10:32
1
1
$begingroup$
Referring to @orange's comment, if you look at most of the equations, you would first guess that $S = frac17(2p+5c+e)$, but then there are two equations (out of the eight) for which this fails ...
$endgroup$
– Matti P.
Mar 19 at 10:36
$begingroup$
Referring to @orange's comment, if you look at most of the equations, you would first guess that $S = frac17(2p+5c+e)$, but then there are two equations (out of the eight) for which this fails ...
$endgroup$
– Matti P.
Mar 19 at 10:36
1
1
$begingroup$
@MattiP. yes. So there might be a non linear factor
$endgroup$
– orange
Mar 19 at 10:39
$begingroup$
@MattiP. yes. So there might be a non linear factor
$endgroup$
– orange
Mar 19 at 10:39
2
2
$begingroup$
Can you tell us about where the equations came from ? It might be that it would be more useful to fit an approximate solution, than to find an exact one.
$endgroup$
– Simon
Mar 19 at 10:41
$begingroup$
Can you tell us about where the equations came from ? It might be that it would be more useful to fit an approximate solution, than to find an exact one.
$endgroup$
– Simon
Mar 19 at 10:41
|
show 7 more comments
0
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oldest
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1
$begingroup$
I do not see equations.
$endgroup$
– Claude Leibovici
Mar 19 at 10:26
2
$begingroup$
well is $s$ a linear function of the other $3$? then yeah you can find inconsistency by the 6th equation.
$endgroup$
– orange
Mar 19 at 10:32
1
$begingroup$
Referring to @orange's comment, if you look at most of the equations, you would first guess that $S = frac17(2p+5c+e)$, but then there are two equations (out of the eight) for which this fails ...
$endgroup$
– Matti P.
Mar 19 at 10:36
1
$begingroup$
@MattiP. yes. So there might be a non linear factor
$endgroup$
– orange
Mar 19 at 10:39
2
$begingroup$
Can you tell us about where the equations came from ? It might be that it would be more useful to fit an approximate solution, than to find an exact one.
$endgroup$
– Simon
Mar 19 at 10:41