#### A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

System of Equations Calculator - Online Calculator - Tutorpace

# System of Equations Calculator

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

#### SIGN UP FOR A FREE TRIAL

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