Find the value of k where \(x = 7\) and \(y = 11\) is the solution of the equation given below: \(15x + 13y = k\)
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 248
A pair of values is a solution of an equation when it makes both sides equal, so putting \(x=7\) and \(y=11\) into the left side gives the value of \(k\) on the right side.
First term with \(x=7\): \(15\times7=105\)
Second term with \(y=11\): \(13\times11=143\)
The right side is their sum: \(k=105+143=\) 248