The key here is "isosceles". That means the legs are equal.
7y-4 = 8y-18
y = 14
7y-4 = 8y-18
y = 14
AB = 7y - 4
CD = 8y - 18
In any isosceles trapezoid, the two legs are of
equal length. Therefore, AB = CD
7y - 4 = 8y - 18
Add 18 to both sides of the equation 7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
Subtract 7y from both sides of the equation
7y - 7y + 14 = 8y - 7y 14 = y
⇒y=14
Lmk if anything is wrong or nah
Therefore, we can set up an equation by equating the lengths of AB and CD:
AB = CD
Substituting the given expressions for AB and CD:
7y – 4 = 8y – 18
To solve for y, we need to isolate the y term on one side of the equation. Let's do this step by step:
7y - 8y = -18 + 4
- y = -14
To get the value of y, we need to isolate it by multiplying by -1 on both sides:
(-1)(-y) = (-1)(-14)
y = 14
Therefore, the value of y is 14.