Maths-
General
Easy

Question

Solve the system of equations by elimination :
6X - 9Y = 10
6X + 2Y = 18

hintHint:

HINT: Perform any arithmetic operation and then find.

The correct answer is: x=91/33 and y=8/11


    Complete step by step solution:
    Let 6x - 9y = 10…(i)
    and 6x + 2y = 18….(ii)
    On subtracting (i) from (ii),
    we get LHS to be 6x + 2y - (6x - 9y) = 2y - (- 9y) = 11y
    and RHS to be 18 -10 = 8
    On equating LHS and RHS, we have 11y = 8
    not stretchy rightwards double arrow y equals 8 over 11
    On substituting the value of y in (i), we get 6 x minus 9 cross times 8 over 11 equals 10

    not stretchy rightwards double arrow 6 x minus 72 over 11 equals 10

    not stretchy rightwards double arrow 6 x equals 10 plus 72 over 11

    not stretchy rightwards double arrow 6 x equals 182 over 11
    not stretchy rightwards double arrow x equals 91 over 33
    Hence we get x equals 91 over 33 text  and  end text y equals 8 over 11
    Note: We can also solve these system of equations by making the coefficients of
    y to be the same in both the equations.

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