Find the best solutions to your problems with the help of IDNLearn.com's expert users. Discover in-depth and trustworthy answers from our extensive network of knowledgeable professionals.
Sagot :
we have the system of equations
[tex]\begin{gathered} \frac{1}{5}x+y=\frac{6}{5}\text{ ----> equation 1} \\ \\ \frac{1}{10}x+\frac{1}{3}y=\frac{7}{10}\text{ ----> equation 2} \end{gathered}[/tex]Solve by elimination
Multiply equation 2 by -2 on both sides
[tex]-2[\frac{1}{10}x+\frac{1}{3}y=\frac{7}{10}]---->-\frac{1}{5}x-\frac{2}{3}y=-\frac{14}{10}\text{ ---> equation 3}[/tex]Adds equation 1 and equation 3
[tex]\begin{gathered} \begin{equation*} \frac{1}{5}x+y=\frac{6}{5} \end{equation*} \\ \begin{equation*} -\frac{1}{5}x-\frac{2}{3}y=-\frac{14}{10} \end{equation*} \\ --------- \\ \frac{1}{3}y=\frac{6}{5}-\frac{7}{5} \\ \\ \frac{1}{3}y=-\frac{1}{5} \\ \\ y=-\frac{3}{5} \end{gathered}[/tex]Find out the value of x
substitute the value of y in any equation
equation 1
[tex]\begin{gathered} \frac{1}{5}x+(-\frac{3}{5})=\frac{6}{5} \\ \\ \frac{1}{5}x=\frac{6}{5}+\frac{3}{5} \\ \\ \frac{1}{5}x=\frac{9}{5} \\ \\ x=9 \end{gathered}[/tex]therefore
The solution is the point (9,-3/5)
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.
