Free Algebra Equation Solver

Introduction:
Branch of mathematics deals with equations are called Algebra. In free Algebra equation solver we use letters like a, b,c.... y and z to denote numbers. Performing addition, subtraction, multiplication, division or extraction of roots and real numbers obtain free algebraic expressions. Symbols in free algebraic equation solver expression are called variables of expression. If two algebraic equation solver expressions are equated, we get free algebraic equations.


Simultaneous Equations


In free Algebra equation solver a set of linear equations having a common solution set is called a system of simultaneous linear equations. In earlier classes, have learnt different methods of solving simultaneous linear equations in two variables. linear equation in three unknowns x, y, z is a statement of equality of form ax + by + cz + d = 0 where a, b, c, d are real numbers with a ≠ 0, b ≠ 0 and c ≠ 0. For example 2x – 3y + 6z = 5 is a linear equation in 3 variables. Find values of three unknowns, given three linear equations in three unknown variables.

Solving given linear equations in x, y, z

Take any two equation solver.
First we are going to eliminate the z.
Now,we get 2 linear equations with x and y.
Solve them in common way learnt in previous cases.
By substitute x and y values in the equation,we get z value.
Finally we get x,y and z values.

I have recently faced lot of problem while learning System of Equations Solver, But thank to online resources of math which helped me to learn myself easily on net.

Practice Example


Example :

Solve:

x - 3y =12 ----------(1)
2x + 6y = 4 ----------(2)

SOLUTION:

(1) x 2 => 2x – 6y = 24
(2)      => 2x + 6y =   4   (+)
___________
4x + 0 = 28
___________

4x = 28

Divide by 4 on both sides,

(4x/4) = (28/4)

x = 7

Plug x = 7 in ( 1 ),

7 - 3y = 12

Subtracting 7 on both sides,

7 -3y - 7 = 12-7
-3y = 5

y = -(5/3)

Solution for this Algebra problem is x = 7 & y = -(5/3)