Given:
The system of equations is
To find:
The correct statement for the given system of equations.
Solution:
On comparing the given equations and general form of linear equation, i.e., , we get
Here,
Since, , therefore, the two equations are equivalent and the system has infinitely many solutions.
Hence, the correct option is b.
Adding both equations will eliminate a variable in the system of equations
Step-by-step explanation:
Given equations are:
One of the methods to solve simultaneous linear equations is elimination. In elimination one of the variables is eliminated from the system to find the value of other variable.
In the given equations we can see that the coefficients of y in both equations are same with opposite signs so adding both equations will eliminate the variable y from the system.
Hence,
Adding both equations will eliminate a variable in the system of equations
Keywords: Linear equations, variables
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