Hi,

Note: easiest points to find is when x = 0  or y = 0

 3x+ y = 2,  2 Pts(x,y) on this line (0,2) and (2/3, 0) Green Line

 y = 2x-2,   2 Pts(x,y) on this line (0,-2) and (1, 0)  Blue Line

Plot respective points and connect with their respective line

Tough to determine on graph:  

substituting  y  =( 2x-2) also works:  

3x + 2x-2 = 2, 

5x = 4, 

x = 4/5   and  y = 8/5 - 10/5 = -2/5



 

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