Question 208600: Would you please help me solve this graphing problem?
Solve graphically
4x+y= -3
4x+2y=2
Thank you!! Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! 4x+y= -3
4x+2y=2
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y = 5
x = -2
are the answer i think we are looking for.
we'll confirm graphically.
that point (-2,5) should be the intersection of the two lines formed by these equations.
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to graph these equations, we need to translate into graphing form.
that's where the y is on the left side of the equal sign and the rest is on the right.
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4x + y = -3 becomes y = -3 - 4x which is the xame as y = -4x - 3
4x + 2y = 2 becomes 2y = -4x - 2 which becomes y = -2x + 1 after dividing both sides of the equation by 2.
our equations in graphing form are:
y = -4x - 3
y = -2x + 1
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graph of these equations looks like:
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the graph confirms the answer for the simultaneous equations is x = -2 and y = 5 because that is the intersection of the lines formed by the 2 equations.
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