Two systems of equations are shown below. the first equation in system b is the original equation in system a. the second equation in system b is the sum of that equation and a multiple of the second equation in system a. a. x + 3y = 11 → x + 3y = 11 5x − y = 17 → 15x − 3y = 51 15x = 62 b. x + 3y = 11 15x = 62 what is the solution to both systems a and b?

we have that

System A

System B

Step

Multiply System B by

Step

Find the sum system A and system B

Find the value of y

therefore

the answer is

the solution of the system is the point

see the attached figure

greater than one

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.