The side of a triangle with 3 equal sides is 7 inches shorter than the side of a square. the perimeter of the square is 39 inches more than the perimeter of the triangle. find the length of a side of the square.

 length of  square = 18

x = side of square

x-7 = side of triangle

3(x-7) + 39 = 4x

3x-21 + 39 = 4x

3x+18 = 4x

18=x

square    18x4 =72(perimeter square)

triangle side  (18-7=11)

11x3 = 33(perimeter triangle) 

72-33=39

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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