If x = – 1, y = 2 is a solution of the equation

Question:

If x = – 1, y = 2 is a solution of the equation 3x + 4y = k, find the value of k. 

Solution:

We are given, 3x + 4y = k

Given that, (-1, 2) is the solution of equation 3x + 4y = k.

Substituting x = -1 and y = 2 in 3x + 4y = k,

We get; 3x - 1 + 4 × 2 = k

K = - 3 + 8 k = 5 

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