we have
[tex]500x+6y=11,216[/tex] ---------> equation [tex]1[/tex]
[tex]800x+4y=9,344[/tex] ---------> equation [tex]2[/tex]
In the equation [tex]1[/tex] clear variable x
[tex]500x+6y=11,216\\ 500x=11,216-6y[/tex]
[tex]x=22.432 -0.012y[/tex] ----------> equation [tex]3[/tex]
Substitute the equation [tex]3[/tex] in the equation [tex]2[/tex]
[tex]800*[22.432 -0.012y]+4y=9344[/tex]
[tex]800*[22.432 -0.012y]+4y=9,344\\17,945.6- 9.6y+4y=9,344\\9.6y-4y= 17,945.6-9,344\\ 5.6y=8,601.6\\y=8,601.6/5.6\\y= 1,536[/tex]
Find the value of x
[tex]x=22.432 -0.012y[/tex]
[tex]x=22.432 -0.012*1,536[/tex]
[tex]x=4[/tex]
therefore
the answer is
[tex]x=4[/tex]
[tex]y=1,536[/tex]
