Respuesta :

So firstly, factor out h on the left side: [tex] h(b+r)=25 [/tex]

Next, divide both sides by h: [tex] b+r=\frac{25}{h} [/tex]

Lastly, subtract both sides by b and your answer will be [tex] r=\frac{25}{h}-b [/tex]

Answer:

[tex]r=\frac{25}{h}-b[/tex] will be the answer.

Step-by-step explanation:

the given equation is bh + hr = 25

We have to solve this equation for the value of r.

We divide this equation by bh first.

[tex]\frac{bh+hr}{bh}=\frac{25}{bh}[/tex]

1 + [tex]\frac{hr}{bh}=\frac{25}{bh}[/tex]

[tex]1 + \frac{r}{b}=\frac{25}{bh}[/tex]

[tex]\frac{r}{b}=\frac{25}{bh}-1[/tex]

[tex]r=b(\frac{25}{bh}-1)[/tex]

[tex]r=\frac{25}{h}-b[/tex]

Therefore, [tex]r=\frac{25}{h}-b[/tex] will be the answer.

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