# Online Algebra Tutoring: Linear Equations

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## Learn Â Linear Equations Â from Certified Online Algebra Tutor

A set of different linear equations having the same pair of variables and satisfying the same conditions is a system of Linear Equations.

A system can have 2 or more Linear Equations. The simplest system is when we have 2 Linear Equations in 2 variables.

For example:

**2x + y = 10**

** y – x = 16**

**Here, we have a set of 2 linear equations in 2 variables x and y.**

Solving two Simultaneous Linear Equations means finding the values of x and y that satisfy both the given equations. Hence, it is important that both equations have the same pair of variables and the equations are linear.

Solution **(x, y)** of a system of Linear Equations is the point **(x, y)** where the graphs (lines) of all those linear equations intersect.

### Methods to solve Simultaneous Linear equations

#### There are different methods to solve simultaneous Linear equations.

1.Substitution Method

2.Elimination Method

3.Graphing method

4.Matrix method

### Checkpoint:

#### Can the following pair of equations be solved?

**1.Â x + y = 20**

** x + z = 30**

**2. 2x = 6**

** 3y = 12**

**3. xÂ² + y = 4**

** 2x â€“ 8 = y**

**4. x = 7 â€“ 5y**

** m = 7 â€“ 5n**

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