Question

Find the equation of the straight line which is parallel to 2x + 3y = 11 and such that the sum of the intercepts on axes is 15.

Answer 1

Answer: 2x+3y=18

Step-by-step explanation: Any line parallel to 2x+3y+11=0 is the form 2x+3y =k this can also be written as x/(k/2)+y/k/3 =1 this is the line whose sum of the intercepts is 15, then k/2 +k/3 = 15 after solving we get that indeedk= 18.