Answer:
[tex]x = 6[/tex] and [tex]y = 236[/tex]
Step-by-step explanation:
[tex]y = 296 - 10x[/tex]
[tex]y = 200 + 6x[/tex]
By equating both equations, we get:
[tex]296 - 10x = 200+6x[/tex]
[tex]16x = 96[/tex] [Separate variables and constants]
[tex]x = 6[/tex]
By substituting [tex]x = 6[/tex] to the above equation, we get:
[tex]y = 296 - 10(6)[/tex]
[tex]y = 296 - 60[/tex]
[tex]y = 236[/tex]
Hence, [tex]x = 6[/tex] and [tex]y = 236[/tex]