
How do you solve by substitution
Answer
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Hint: In substitution method, we take the value of a variable from an equation in terms of other variable and then put the value of that variable in another equation and after solving that another equation, we will get the value of the other variable, so we put its value in any of the equations to get the value of the first variable.
Complete step by step solution:
In order to solve the given equations through substitution method, we will proceed as follows:
From one of the two equations, we will take value of one variable in terms of other,
Now putting in place of a in the second equation, we will get
We will now solve this equation for value of b
Adding four to both sides of the equation, we will get
Now, dividing both sides of the equation with coefficient of b, we will get
So we got the value of
Now putting the value of b in equation (i), to get the value of the other variable, that is a
Therefore is the required solution of the given equations.
Note: When using substitution method, many students substitute the value of the variable in the equation from where they have taken the value of that variable, which gives them the equation which is no wonder. Because they are putting the value in the parent equation from where they have taken the value. Never substitute the value in the equation from where it has taken.
Complete step by step solution:
In order to solve the given equations
From one of the two equations, we will take value of one variable in terms of other,
Now putting
We will now solve this equation for value of b
Adding four to both sides of the equation, we will get
Now, dividing both sides of the equation with coefficient of b, we will get
So we got the value of
Now putting the value of b in equation (i), to get the value of the other variable, that is a
Therefore
Note: When using substitution method, many students substitute the value of the variable in the equation from where they have taken the value of that variable, which gives them the equation
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