Question 124482
solve this system of equation by graphing. If the system is inconsistent or the equations are dependent, say so. Please show me all your work so I can see where I am going wrong on this problem. 
x-2y=6
x+2y=2
I also need to solve each for y to put in graphing calculator and can't figure it out.
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Solve each equation for "y":
2y=x-6
y = (1/2)x-3
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2y=-x+2
y = (-1/2)x+1
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The slopes are different so the system is consistent.
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Graph both lines:
{{{graph(400,300,-10,10,-10,10,(1/2)x-3,(-1/2)x+1)}}}
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Solve by substitution:
(1/2)x-3 = (-1/2)x+1
x = 4
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Substitute to solve for "y":
y = (-1/2)*4+1 = -1
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Final solution (4,-1)
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Cheers,
Stan H.