Let us write the least natural number by which we can multiply both the equations and get the equal co - efficients of x, where the equations are 4x – 3y = 16 and 6x + 5y = 62.
In this case, the coefficient of x are 4 and 6, thinking of the common multiple of the 4 and 6 comes out to be 12, hence multiplying 4x – 3y = 16 by 3 and 6x + 5y = 62 by 2 makes the coefficient of x as 12 and then subtracting both the equations to eliminate x.
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