Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Given:
There are given that the two equations:
[tex]\begin{gathered} 16x+12y=336...(1) \\ 11x+15y=312...(2) \end{gathered}[/tex]Explanation:
According to the question:
We need to find the set of the solution by using the elimination method.
So,
From the given equation:
First We need to remove the x term, so we will multiply by 11 in equation (1) ad then we will multiply by 16 in equation (2).
So,
[tex]\begin{gathered} 11\times(16x+12y=336) \\ (11\times16x+11\times12y=11\times336) \\ 176x+132y=3696...(3) \end{gathered}[/tex]Then,
From the equation (2):
[tex]\begin{gathered} 16\times(11x+15y=312) \\ 176x+240y=4992...(4) \end{gathered}[/tex]Now,
We need to subtract equation (3) from equation (4):
Then,
After subtraction, the x term will be called out.
So,
[tex]\begin{gathered} (240-132)y=4992-3696 \\ 108y=1296 \\ y=\frac{1296}{108} \\ y=12 \end{gathered}[/tex]Now,
Put the value of y into equation (1) for getting the value of x.
So,
From the equation (1):
[tex]\begin{gathered} \begin{equation*} 16x+12y=336 \end{equation*} \\ 16x+12(12)=336 \\ 16x+144=336 \\ 16x=336-144 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 16x=336-144 \\ 16x=192 \\ x=\frac{192}{16} \\ x=12 \end{gathered}[/tex]Final answer:
Hence, the solution of the give set of equation is shown below:
[tex](x,y)=(12,12)[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
