3 x + 4 y = 5 4 x + 3 y = 1 |
3 4 5 |
For the 2nd equation above enter the following values in input field 'B':
4 3 1 |
Notice that the number of values in each line is one more than the number of equations. For this problem the number of equations is two, but each equation line has three values. The last value on each line, is the number that appears to the right of the equal sign.
Variable 1 value : -1.57142857 (this is the x value) Variable 2 value : 2.42857143 (this is the y value) |
The other values are empty because this problem only has two variables.
2 x - y - z = 1 2 x - 3 y - 4 z = 0 x + y - z = 4 |
For the above equations you would enter the following values:
A Equation : 2 -1 -1 1 B Equation : 2 -3 -4 0 C Equation : 1 1 -1 4 |
Note you have to enter 1 when a variable does not have a coefficient. Also, you have to enter -1 when a variable does not have a coefficient, and is preceded by a minus sign. You also have to put a minus sign in front of other coefficients if necessary.
The results of the above equations is:
Variable 1 value : 1 (this is the x value) Variable 2 value : 2 (this is the y value) Variable 2 value : -1 (this is the z value) |
Am error message may appear if the equations do not have a solution. This could occur if the equations are equivalent, or inconsistent. The following is an example of equations that are equivalent.
3 x + 4 y = 5 6 x + 8 y = 10 |
The following is an example of equations that are inconsistent.
3 x + 4 y = 5 3 x + 4 y = 2 |