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Answer :

Answer:

[tex]\huge\boxed{y= \frac{r-p}{t-q}}[/tex]

Step-by-step explanation:

In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.

Step 1: Subtract [tex]p[/tex] from both sides of the equation.

  • [tex]ty - qy + p - p = r[/tex]
  • [tex]ty-qy=r - p[/tex]  

Step 2: Factor out the common term [tex]y[/tex] from the left side

  • [tex]y( t-q ) = r-p[/tex]

Step 3: Divide both sides by [tex]t-q[/tex]

  • [tex]\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}[/tex]
  • [tex]y = \frac{r-p}{ t-q}[/tex]

Hope this helped!