Question

If the line x-1/2= y-2/3=t interested the line x+y=8 then t=

Answer 1

Answer:

Please see the attachment

Answer 2

Answer:

The value of t = 5

Step-by-step explanation:

In the given problem the word interested might be intersected

Given  $\frac{x-1}{2} = \frac{y-2}{3} = t$      

     ⇒  $\frac{x-1}{2} =t$                      ⇒   $\frac{y-2}{3} =t$

     ⇒ $x-1 = 2t$                  ⇒  $y-2 =3t$

     ⇒ $x =2t + 1$ _ (1)           ⇒ $y= 3t +2$  _ (2)  

⇒ given that above line intersects the line $x+y =8$  

⇒ then x and y values will satisfy the line  x+ y =8

⇒ substitute (1)  and  (2) in  x+ y =8

⇒   2t + 1 + 3t +2 = 8

⇒  5t + 3 =8

⇒   5t = 5

⇒  t = 5        

the value of t =5