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.

Question

Mathematics

Yurem Phelps

7 September, 20:13

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.

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Answers (1)

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Elaine Rose · 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.