The solution of given system of equations is .
Further explanation
The system of equations is given as follows:
The equations are the form of linear equation in two variables.
The general form of linear equation in two variables is where are real numbers.
Here, the system of equations is as follows:
.....(1)
......(2)
Now, we can rewrite the equation (1) as follows:
Substitute the value of in equation (2) as follows:
Solve the above expression to find the value of .
Therefore, the value of is .
Now, Substitute the value of in equation (1) to get the value of .
Therefore, the value of is .
The solution of given system of equations is .
Option (a)
In option (a) it is given that the solution is .
But as per the calculation solution of the given system of equations is .
Therefore, option (a) is incorrect.
Option (b)
In option (b) it is given that the solution is .
As per the calculation solution of the given system of equations is .
Therefore, option (b) is correct.
Option (c)
In option (c) it is given that the solution is .
But as per the calculation solution of the given system of equations is .
Therefore, option (c) is incorrect.
Option (d)
In option (d) it is given that there are infinte solution.
But as per the calculation solution of the given system of equations is which is a unique solution.
Therefore, option (d) is incorrect.
Learn more
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear equations in two variables
Keywords: Linear equations in one variable, linear equations in two variables, function, sets, real numbers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open interval.