You can put this solution on YOUR website! Y=-1/3X+1
Y=1/3X-3
x=6 & y=-1 answers as shown on the following graph. (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, of TWO functions y = -x/3 +1 and y = x/3 -3).
You can put this solution on YOUR website!
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Find the common solution.
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Notice that the left sides of both these equations are equal (both of them are Y) so, the
right sides must be equal also. Set them equal:
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You can avoid messing with fractions if you multiply both sides (all the terms) of this equation
by the common denominator 3. When you do the equation becomes:
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Remove the X from the right side by subtracting X from both sides to get:
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Eliminate +3 from the left side by subtracting +3 from both sides to get:
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Solve for X by dividing both sides by -2 to get
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Now that we know that X equals 6, we can solve for y by returning to either of the original
equations and substituting 6 for X.
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For example, let's return to the second (or bottom) of these equations to get:
. and by substituting 6 for X it becomes:
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That's all there is to it. The common solution is X = 6 and Y = -1.
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Hope that this helps you to understand the process of solving simultaneously for two linear
equations.
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