
How do you solve and using substitution method?
Answer
480k+ views
Hint:The substitution method is used to solve simultaneous linear equations. In this method, the value of one variable either or from one equation is substituted in the other equation and then solve the equation to get the value of one variable and then put the value of this variable in either of the equations to get the value of the other variable.
Complete step by step answer:
The given two linear equations are
- - - - - - - - - - - - - - - - - - - - - - - -(1)
- - - - - - - - - - - - - - - - - - - - - - (2)
From the first equation we get .
Now, put the value of in the second equation and then we get,
Now, put the value of variable in the second equation .
Thus, the value of variables and are and respectively.
Hence, by substitution method we get is the required solution of the given two equations.
Note: The given two linear equations are also solved by elimination method. In this method our main aim is to eliminate one variable either or . For this multiply first equation by some numerals and the second equation by some other numerals such that addition or subtraction of the two equation cancel either the variable or , then solve the value of one variable and put this value in either of the equation to get the value of the other variable.
Complete step by step answer:
The given two linear equations are
From the first equation we get
Now, put the value of
Now, put the value of variable
Thus, the value of variables
Hence, by substitution method we get
Note: The given two linear equations are also solved by elimination method. In this method our main aim is to eliminate one variable either
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