Answer:
( [tex]\frac{18}{7}\\[/tex] , [tex]\frac{92}{21}[/tex] ) or x = [tex]\frac{18}{7}[/tex] y =
( 2.57 , 4.18) or x = 2.57 y = 4.18
Step-by-step explanation:
Use elimination:
Find the least common multiple between x or y in this case use -6 and 5 (make sure there are opposite signs)
11x - 6y = 2 multiply entire problem by 5
-8x + 5y = 3 multiply entire problem by 6
55x - 30y = 10 combine problems
-48x + 30y = 18
7x + 0y = 18
7x = 18 = [tex]\frac{18}{7}[/tex] Plug into one equation to find y
11([tex]\frac{18}{7}[/tex]) - 6y = 2
[tex]\frac{198}{7}[/tex] - 6y = 2
-6y = -[tex]\frac{184}{7}[/tex]
y= [tex]\frac{92}{21}[/tex]
Hope this helps :)
