Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

when solving the following system of equations using the elimination method, what would be the appropriate first step?A) multiply the bottom equation by 2B) multiply the top equation by 4 C) subtract the system D) add the system

When Solving The Following System Of Equations Using The Elimination Method What Would Be The Appropriate First StepA Multiply The Bottom Equation By 2B Multipl class=

Sagot :

Answer:

A) multiply the bottom equation by 2

Explanation:

Our goal in using the elimination method is to eliminate one variable so that we can solve for another independently.

Therefore, the first step would be to multiply the bottom equation by 2 so that the term with x becomes -4x so that it can cancel when the bottom equation Is added to the equation at the top.

Multiplying the bottom equation by -2 gives

[tex]\begin{gathered} 2(-2x+5y=25) \\ -4x+10y=50 \end{gathered}[/tex]

Now, our system becomes

[tex]\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \end{gathered}[/tex]

adding the two equations gives

[tex]\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \\ -------------- \\ 17y=78 \end{gathered}[/tex]

we can now solve for y and then use its value to find the value of x.

Therefore, the correct first step in solving the equations is to multiply the bottom equation by 2.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.