# SOLUTION: what are the two coordinates for the problem below: 3x+6y=6 2x-3y=4

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 Question 68974: what are the two coordinates for the problem below: 3x+6y=6 2x-3y=4 Found 2 solutions by checkley75, funmath:Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!3x+6y=6 6y=-3x+6 y=-3x/6+6/6 y=-x/2+1 ------------------------ 2x-3y=4 -3y=-2x+4 y=-2x/3+4/3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/2 +1 and y = -2x/3 +4/3). Answer by funmath(2925)   (Show Source): You can put this solution on YOUR website!what are the two coordinates for the problem below: 3x+6y=6 2x-3y=4 Multiply the bottom equation by 2 and add the two equations together to eliminate your y's then solve for x: 2(2x-3y=4)---> 4x-6y=8 : 3x+6y=6 4x-6y=8 ------- 7x+0=14 7x=14 7x/7=14/7 x=2 Now substitute 2 in for x and solve for y in either equation: 3(2)+6y=6 6+6y=6 6-6+6y=6-6 6y=0 6y/6=0/6 y=0 The solution is (x,y)=(2,0) To check substitute 2 in for x and 0 in for y and see if the equations equal out. 3(2)+6(0)=6 6+0=6 6=6 the first equation checks. 4(2)-6(0)=8 8-0=8 8=8 the second equation checks also. Happy Calculating!!!!