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Introduction to linear equation examples:

It is an algebraic equation in which each term is the product of a constant and (the first power of) a single variable or either a constant . Linear equations can have one or more variables. Linear equations occur with great regularity in mathematics. The general form of the liner equation is y =mx +b. Otherwise it can be written as ax + by=c. Here we are going to how to solve the liner equations and its example problems.

Solving linear equation there are many method is available but here we are seeing two methods.

• Elimination method
• Substitution method

Linear Equation – Example Problems

Example of linear equations worksheets:

Solve the following liner equation using elimination method 4x+6y = 10 and 2x + 2y = 4

Solution:

4x+6y = 10 -----------------------1

2x + 2y = 4 -------------------------2

Multiply equation (2) by 2, we get

4x + 4y = 8 ----------------------3

Take equation 1 and 3 subtract equation 3 from 1 we get more help on Solving math with formula

4x + 6y = 10

4x + 4y = 8 (change the sign and add)

--------------------

2y = 2

----------------

Divide both sides 2 we get

y = 2/2=1

Now we have to find the x value

Substitute y value in to the equation 1 we get

4x + 6y = 10

4x + 6 (1) = 10

4x + 6 = 10

Add both sides -6 we get

4x + 6 - 6 = 10 - 6

4x = 4

Divide both sides 4 we get

x = 1

Therefore the solution of the given liner equation is x = 1 and y = 1