Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

if 3a-2b= 8 and a+3b=7 what is the value of 4a+b?

Sagot :

RedRicin
Step 1: Find the value of one variable in terms of the other.

[tex]a+3b=7\\a=7-3b[/tex]

Step 2: Substitute the value you just found for this variable in the other equation.

[tex]3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}[/tex]

Step 3: Use your new value for the second variable to find the first.

[tex]a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}[/tex]

Now that we know the values for a and b we can find the value of 4a+b.

[tex]4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}[/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.