After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
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