Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

When solving the system below algebraically using the substitution method, which of the following could be an equation you could create to solve for y?A. -4(2y - 20) + 3y = 30B. -4(-2y + 20) + 3y = 30C. -2y + 20 = -3y + 30D. 4(x + 2y = 20

When Solving The System Below Algebraically Using The Substitution Method Which Of The Following Could Be An Equation You Could Create To Solve For YA 42y 20 3y class=

Sagot :

The goal of the substitution method is to eliminate one of the variables using one of the equations of the systems. We are told that we want to solve for y, that is, we should use one equation to eliminate the variable x.

Since the coefficient of x in the first equation is 1, we will use the first equation to eliminate x in the second equation. So, we have the first equation

[tex]x+2y=20[/tex]

So, by subtracting 2y on both sides, we get

[tex]x=20-2y[/tex]

which is equivalent to

[tex]x=-2y+20[/tex]

So, if we replace this value of x in the second equation,w e get

[tex]-4\cdot(-2y+20)+3y=30[/tex]

which corresponds to option B

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.