Without drawing the graphs, find the points of intersection of the lines:

11x–6y=2 and –8x+5y=3

( , ) or x = 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 =       Plug into one equation to find y

11() - 6y = 2

- 6y = 2      

-6y = -

y=

Hope this helps :)

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step-by-step explanation: