Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks reba is a costume designer for the local children's theater. Yesterday, she sewed 5 female costumes and 2 male costumes, which used 116 yards of fabric. Today, she sewed 3 female costumes and 1 male costume, which used a total of 68 yards. how many yards of fabric does each costume require?
each female costume requires yards of fabric, and every male costume requires yards

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step-by-step explanation:

56

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form