Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

let f be the female costumes and m be the male costumes:

3f + 4m = 48

3f + 2m = 36

solve simultaneous equations

2m = 12

male = 6 metres

sub vale back in

3f + 2m = 36

3f + (2×6) = 36

3f + 12 = 36

3f = 24

f = 8 metres

each female costume requires 8 metres of fabric and every male costume requires 6 metres of fabric.

the monthly balance will be $75,000

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.