Solve the system using elimination. y – x = 13 7y + x = 11

Mathematics · College · Thu Feb 04 2021

Answered on

Given:

y - x =13

17y + x = 11

Solve using elimination.

Solution:

In order to solve using elimination, we simply equate the two equations into one single solution.

y - x = 13
can be written as,
y - x -13 = 0

17y + x = 11
can be written as,
17y + x - 11 = 0

y - x - 13 = 17y + x - 11

Transpose y - x - 13 on the other side of the enequation, hence it must be taken to note that in transposing a number, the sign changes.

= 17y + x - 11 - y + x + 13

= 16y + 2x + 2

Final answer:

= 16y + 2x + 2