How to Solve systems of Equations
In this page we are going to discuss about How to Solve systems of equations concept .A "system" of
equations is a set or group of equations . Linear equations are easy than non-linear equations, and the
simplest linear system is one with two equations and two variables.
System of equations is a collection of two or additional equations with a same set of unknowns. In solving a
system of equations, we need to find values for every of the unknowns that will declare every equation in the
system. The system of equation can be linear or non-linear. The problem can be spoken in sequence of
actions form or the problem can be expressed in algebraic form.
Types of Systems of equations
Elimination:
Elimination technique is considered as one of the How to Solve systems of equations In elimination
method an operation on 1 equation is performed so that cancelling one variable and finding the other
variable .
Substitution:
In substitution method the algebraic expression of one of the varible is substituted in another equation at the
place of the respective variable and then the variable is solved. Again by substituting in any of the equation
the value of the second variable is also found.
Linear equation:
An algebraic expression which relate two variables and whose graph is a line.
Matrix:
A rectangular array of number written in brackets and used to find solutions for complex systems of equations.
Consistent System:


In this way we have the set of equations whole solutions set is represented by only one ordered pair.

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Solving systems of equations Below are the examples on solving systems of equations -
Example 1 : Given: How to Solve systems of equations
x + 27 = 71
Solution:
Step 1: x + 27 - 27 = 71 - 21 (Subtract 27 on both the sides)
Step 2: x = 50 (So the answer is 50)
Example 2:
Given
a + 15 = 75.
Solution :
Step 1: we need to find the value of a.
Step 2: Subtract 15 on both the sides.
Step 3: So the value of a is 60.
Example 3:
y = 2x + 1, 2y = 3x - 2 How to Solve systems of equations
Solution:
Step 1: Substitute one equation to another .So 2(2x + 1) = 3x - 2.
Step2: Now we have single variable equation, we need to solve that variable equation.

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