Question

Triangle abc is equilateral, solve for x and y​

Answer 1

Answer:

x = 4

y = 3

Step-by-step explanation:

Remark

If a triangle is equilateral all three sides are equal. So each side has equal statements.

Solution

3x + 2 = 5x - 2y            Subtract 3x from both sides

2 = 5x -3x - 2y              Combine

2 = 2x - 2y                     divide by 2

x - y = 1                          Equation 1

3x + 2 = 6y - 4            Equilateral triangles have equal sides. Subtract 6y

3x - 6y + 2=  - 4          Subtract 2

3x - 6y = -4 - 2

3x - 6y = - 6                Divide by 3

x - 2y = - 2                  Equation 2.

Now subtract equation 1 from equation 2

x - 2y = - 2

x -  y    =  1                    Subtract

  - y    = - 3                   Multiply by -2

    y = 3

Put y = 3 into equation 1

x - y = 1

x - 3 = 1                         Add 3 to both sides.

x = 4

Answer

x = 4

y = 3