Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Fill in the blank so that the following statement is true.

The first step in solving
[tex]\[ \frac{x-3}{x-5} = \frac{x+1}{x+6} \][/tex]
is to multiply both sides by
[tex]\[ (x-5)(x+6) \][/tex]

Sagot :

GinnyAnswer
To solve the equation

[tex]\(\frac{x-3}{x-5} = (x+1)(x+6)\)[/tex],

the first step is to eliminate the denominator on the left side of the equation. This can be done by multiplying both sides of the equation by [tex]\((x-5)\)[/tex]:

[tex]\[ (x-5) \cdot \frac{x-3}{x-5} = (x-5) \cdot (x+1)(x+6) \][/tex]

When you multiply both sides by [tex]\((x-5)\)[/tex], it cancels out the denominator on the left side of the equation:

[tex]\[ x-3 = (x-5)(x+1)(x+6) \][/tex]

So, to fill in the blank, the first step in solving [tex]\(\frac{x-3}{x-5} = (x+1)(x+6)\)[/tex] is to multiply both sides by [tex]\((x-5)\)[/tex].
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.