Solve the following system of equations by the elimination method:
Solution :-
Step 1: Convert the decimal into fractional forms of the given equations.
Multiply 10 with both sides of equation (1) & Multiply 100 with both sides of equation (2)
it becomes
Step 2: Multiply the equation (4) by suitable number( ). The coefficient of the variable ‘y’ becomes equal.
Step 3: Adding equation (3) and the new equation obtained(5) to eliminate the variable ‘y’. And the resulting equation is a linear equation in one variable.
Step 4: Substitute the value of the variable in the given equation(3)
i.e. , to get the value of the other variable ‘y’
Hence, the value of and