Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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 our answers were helpful. Return anytime for more information and answers to any other questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.