<p>Hi my ACT prep book is stupid and it won't tell me how to solve 200/r+10=(200/r)-1. Could anyone help me step by step do the problem</p>
<p>You need to put parentheses or else your question is just plain wrong:
However, I assume the r+10 should be in parentheses.</p>
<p>1) You could just graph the two and find the intersection.</p>
<p>2) Solve is algebraically (I assume this is what you want).</p>
<ul>
<li>first, put like terms together –> (200/r) - 200/(r+10) = 1</li>
<li>then, you want to treat it like a fraction, right? So you make the denominators equal –> (r+10)[200/{r(r+10)}] - 200r/{r(r+10)} = 1</li>
<li>then, simplify - (200r+2000)/(r^2+10r) - 200r/(r^2+10r) = 1</li>
<li>then, simplify again - 2000/(r^2+10r) = 1</li>
<li>then, multiply both sides by denominator - 2000 = r^2 + 10r.</li>
<li>then, move the 2000 to the other side - r^2+10r-2000 = 0.</li>
<li>then use the quardratic formula. (- b plus or minus the square root of b squared, etc.)</li>
</ul>
<p>Too lazy to do now.</p>
<p>thank you very much</p>