System of Equations Solver

CalcES calculator allow you to find roots of system equations with 2, 3 and 4 unknown variables.

Example: system of equations of 2 variables

{5x+3y=73x−5y=−25​

Example: system of equations of 3 variables

⎩⎪⎨⎪⎧​x+y+z=255x+3y+2z=0y−z=6​

Example: system of equations of 4 variables

⎩⎪⎪⎪⎨⎪⎪⎪⎧​2a+2b−c+d=44a+3b−c+2d=68a+5b−3c+4d=123a+3b−2c+2d=6​

Steps to solve system of equations

Example: solve system of equations

{5x+3y=73x−5y=−25​

1. Press the MODE button to open the mode dialog

   

2. Scroll down and then select the an​x+bn​y=cn​ item

   

3. Enter the coefficients of the system of equations:

   a	b	c
   5	3	7
   3	-5	-25

   

4. Press = (or the SOLVE button on the top-right of display) to solve system of equations

   

5. The calculator show x=17−20​

   

6. Press = to show y=1773​

   

7. Press = again to back to the coefficient editor

   

Other examples

Example: system of equations of 3 variables: x, y, z

⎩⎪⎨⎪⎧​x+y+z=255x+3y+2z=0y−z=6​

1. Press MODE , then select the an​x+bn​y+cn​z=dn​ item

   

2. Enter coefficients of system of equations:

   

3. Press = to solve system of equations

   Results

   x=5−131​
   
   y=5143​
   
   z=5113​
   

4. Press =

   

5. Press =

   

Example: system of equations of 4 variables: x, y, z, t

⎩⎪⎪⎪⎨⎪⎪⎪⎧​2a+2b−c+d=44a+3b−c+2d=68a+5b−3c+4d=123a+3b−2c+2d=6​

1. Press MODE , then select the an​x+bn​y+cn​z+dn​t=en​ item

   

2. Enter coefficients of system of equations:

   

3. Press = to solve system of equations

   Results

   x=1
   y=1
   z=−1
   t=−1
   

4. Press =

   

5. Press =

   

6. Press =