Get expert advice and community support on IDNLearn.com. Our platform offers reliable and detailed answers, ensuring you have the information you need.
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]
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.
