Answer to Question #44290 in Algebra for Abhishek

Question

If (5,k) is a solution of the equation 2x+y-7=0, find the value of k.

There is no k in the equation. I am not understanding where k came from. Please help me understand.

Answer 1

(5,k) is the coordinate of the point, which is the solution of the equation 2x+y-7=0. So, the abscissa "x" of that point = 5; the ordinate "y" =k. Substitute (5,k) in the equation: 2*5+k-7=0 --> 10-7+k=0 --> k=-3.

Answer: k=-3.