Solving Systems of Equations
In mathematics, system of equation is one important topic. A set of linear equationscontains a solution
setwhich is common called as system of linear equations. In a linear equation with two variablesare in the
standard formof ax + by + c = 0. Where x and y are variables and a, b, and c are real numbersand also a ? 0
and b ? 0 in the standard form. Example for two variable linear equation is 4x + 5y = 20. Let us see some
example problems for solving systems of equation.


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Solve Systems of Equations
Steps to solving systems of equation using the
substitution method are
Step 1:Given system of equation with two variable
Step 2:Take the first equations
Step 3:Eliminate one variable
Step 4:Substitute the values of that variable in the any
equation
Step 5:x and y values are obtained.
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Practice Problems to Solve Systems of Equations
Problem 1:
Solving the systems of equations by using the substitution method
2x + 6y = 6
-2x + 2y = -6
Solution:
x = 3
y = 0
Problem 2:
Solving the systems of equations by using the substitution method
5a + 7b = -25
11a + 6b = -8
Solution:
a = 2
b = -5


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