Y=x+5 and y= (3)/(2)x - 5

Step-by-step explanation:

Given:

Two Equations

 y = x + 5             (1)

 y =  (3/2) x - 5    (2)

Both are considered as Equation (1) and (2) respectively,

 Equating the equation 1 and 2, we get

 ⇒  x + 5 =  (3/2) x - 5

 ⇒  x - (3/2) x = - 5 - 5

 ⇒  (2x - 3x) /2 = - 10

  ⇒ - x = - 20  

  ⇒    x = 20

 Now substituting "x = 20" in equation  (1), we get

 ⇒   y  = 20 + 5

 ⇒   y = 25

   Thus, we get the value of x = 20 and value of y = 25.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.