
The pair of linear equations , has a unique solution
A. ,
B. ,
C. ,
D. ,
Answer
139.8k+ views
Hint: Here, we will use the method of elimination for solving a system of two equations by multiplication and addition to eliminate a variable from one equation. Then we can find the value of the remaining variable by substitution in the original equation.
Complete step-by-step solution:
Given that the equations are
Multiplying the equation by 7 and equation by , we get
Adding equation and equation , we get
Dividing this equation by 2, we get
Substituting this value of in the equation , we get
Thus, we have and .
Hence, the option A is correct.
Note: 1.In the system of three equations we can also solve this using substitution method if the method to be followed is not mentioned in the question.
2.We will substitute the values of and in the original three equations to verify the solution.
Since in all the above equations, we have verified that the solution is correct.
Complete step-by-step solution:
Given that the equations are
Multiplying the equation
Adding equation
Dividing this equation by 2, we get
Substituting this value of
Thus, we have
Hence, the option A is correct.
Note: 1.In the system of three equations we can also solve this using substitution method if the method to be followed is not mentioned in the question.
2.We will substitute the values of
Since
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