Maths-
General
Easy

Question

Solve the system of equations by elimination :
10X + 6Y = 38
10X + 20Y = 100

The correct answer is: x=8/7 and y=31/7


    SOLUTION:
    HINT: Perform any arithmetic operation and then find.
    Complete step by step solution:
    Let 10x + 6y = 38…(i)
    and 10x + 20y = 100….(ii)
    Now, we have the coefficients of x in (i) and (ii) to be the same.
    On subtracting (i) from (ii),
    we get LHS to be 10x + 20y - (10x + 6y) = 20y - 6y = 14y
    and RHS to be 100 - 38 = 62
    On equating LHS and RHS, we have 14y = 62
    not stretchy rightwards double arrow y equals 31 over 7
    On substituting the value of y in (i), we get 10 x plus 6 cross times 31 over 7 equals 38
    not stretchy rightwards double arrow 10 x plus 186 over 7 equals 38
    not stretchy rightwards double arrow 10 x equals 38 minus 186 over 7
    not stretchy rightwards double arrow 10 x equals 80 over 7
    not stretchy rightwards double arrow x equals 8 over 7
    Hence we get x equals 8 over 7 text  and  end text y equals 31 over 7
    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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