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
