Maths-
General
Easy

Question

Solve Each system : Explain your choice of Solution method .
6X - 5Y= - 1
6X + 4Y= - 10

hintHint:

HINT: Choose the correct method of solution and perform any arithmetic operation
and then find.

The correct answer is: x=-1 and y=-1


    Complete step by step solution:
    We can use the method of elimination of the system of equations.
    Let 6x-5y=-1…(i)
    and 6x+ 4y=-10….(ii)
    Now, we have the coefficients of  in (i) and (ii) to be the same.
    On subtracting (i) from (ii),
    we get LHS to be 6x+ 4y-(6x-5y)=4y-(-5y)=9y
    and RHS to be -10-(-1)=-9
    On equating LHS and RHS, we have 9y=-9
    ⇒y=-1
    On substituting the value of y in (i), we get 6x-5×-1=-1

    ⇒6x+ 5=-1

    ⇒6x=-1-5

    ⇒6x=-6

    ⇒x=-1
    Hence we get x=-1 and y=-1
    Note: We can also solve these system of equations by making the coefficients of
    to be the same in both the equations.

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