Question

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Answer 1

Answer:

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

Step-by-step explanation:

The perimeter of a triangle is the sum of all three sides

3x+2y + 11x+y = 91

Combine like terms

14x +3y = 91

The lines mean the sides are equal

3x+2y = 11x

Simplify

Subtract 3x from each side

3x-3x+2y = 11x-3x

2y = 8x

Divide by 2

2y/2 = 8x/2

y = 4x

Substitute 4x in the first equation every time you see y

14x +3y = 91

14x +3(4x) = 91

14x+12x=91

26x = 91

Divide by 26

26x/26 =91/26

x = 3.5

Now we can find y

y = 4x

y = 4(3.5)

y = 14

We know x and y we can find the length of each of the sides

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5