Maths-
General
Easy

Question

Solve the system of equations by elimination :
X - 2Y = - 2
3X + 2Y = 30

hintHint:

HINT: Perform any arithmetic operation and then find.

The correct answer is: x = 7 and y equals 9 over 2


    Complete step by step solution:
    Let x - 2y = - 2…(i)
    and 3x + 2y = 30….(ii)
    On adding (i) and (ii),
    we get LHS to be x - 2y + 3x + 2y = 4x
    and RHS to be -2+ 30 = 28
    On equating LHS and RHS, we get 4x = 28
    ⇒ x = 7
    On substituting the value of x in (i), we get 7 - 2y = - 2

    ⇒ - 2y = - 2 - 7

    ⇒ - 2y = - 9

    ⇒ y =9 over 2
    Hence we get x = 7 and y equals 9 over 2
    Note: We can also solve these system of equations by making the coefficients of x
    to be the same in both the equations.

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