Please help me understand

x=4

y=6

Step-by-step explanation:

We need to find value of x and y if RS bisects AB and RS = 28

We are given: RS = 28

and We can see from figure that: RT= 3y-7 and TS = 2y+5

And we can observe that RT + TS = 36

So, putting all the values, we can find value of y

Solving this equation, will find value of y

So, we get value of y: y=6

Now, we also know that RS bisects the line AB. It means it divides both the lines equally.

So, we can write: AT = TB

Putting values we can find value of x

We have AT = 4x-2

TB = 4y+2

and y =6

So, we get value of x: x=4

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