System of equations calculator is used to solve collection of 2 or more equations with same set of unknowns. This finds values for every unknown that declares in all the equations in the system. There are 5 method that can be used Elimination, Substitution, Linear equation, Matrix, Consistent system
Example 1: Using system of equations calculator solve following by elimination method;
Eq 1 => 3x + 3y =5 ; Eq 2 => 6x – 2y = 7
Elimination method:
2 ( 3x+3y = 5) [Multiply 1st equation by 2 = eq3]
6x + 6y = 5 + (6x – 2y = 7) [Add both eq2 and eq3]
4y = 12 ; y = 3
3x + 3(3) = 5 [Substitute value of y into eq 1]
3x = 5 – 9
x = -4/3
Example 2: Using system of equations calculator solve following by substitution method;
Eq 1 => 8x + 3y =5 ; Eq 2 => 6x – 2y = 8
8x + 3y = 5 ; x= (5-3y)/8
6{(5-3y)/8} – 2y = 8 [substitute the value of x into eq2]
3(5-3y)/ 4 - 2y= 8
15– 9y – (4x2)y = 8x4 ; -17y = 32 – 15
Y= - 17/ 17 = -1
8x+ 3(-1) = 5 [Substitute the value of y into eq 1 ]
8x= 5-3; X= 2/8 = 1/4