Question 257024: Solve the equations for the solutions, x and y.
x + y = k
2x + 3y = k + 1
The lines intersect at (?,?)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the equations for the solutions, x and y.
x + y = k
2x + 3y = k + 1
The lines intersect at (?,?)
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Multiply thru the 1st equation by 2:
2x + 2y = 2k
2x + 3y = k+1
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Subtract the 1st from the 2nd, then solve for "y":
y = 1-k
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Substitute into x+y = k to solve for "x":
x + 1-k = k
x = 2k+1
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Point of intersection: (2k+1 , 1-k)
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Cheers,
Stan H.
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