[tex]50x + 30y = 5450:\text{Solving for x}[/tex]
[tex]10(5x+3y)=5450
[/tex]
[tex]5x+3y= \dfrac{5450}{10} [/tex]
[tex]5x+3y=545
[/tex]
[tex]5x=545-3y
[/tex]
[tex]x= \dfrac{545-3y}{5} [/tex]
* * * * * * * *
[tex]50x + 30y = 5450:\text{Solving for y}[/tex]
[tex]10(5x+3y)=5450 [/tex]
[tex]5x+3y= \dfrac{5450}{10} [/tex]
[tex]5x+3y=545 [/tex]
[tex]3y=545-5x
[/tex]
[tex]y=\dfrac{545-5x}{3} [/tex]
[tex]y= \dfrac{5(109-x)}{3} [/tex]
