Question 62985This question is from textbook college algebra
: Determine if the following equations are linear.
3x + 2(x-4y)=2x-y
x-3 over 2 = 4+y over 5
x-2x^2+3= x-7 over 2
Determine the x and y intercepts of the following linear equations, if possible, and then graph the equations.
4x-3y=12 x+2y=7 y-x=x-y
This question is from textbook college algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 3x + 2(x-4y)=2x-y
3x+2x-8y=2x-y
3x=7y
y=(3/7)x
Yes, it is linear.
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x-3 over 2 = 4+y over 5
(x-3)/2 = (4+y)/5
5(x-3)=2(4+y)
5x-15=8+2y
2y=5x-23
y=(5/2)x-(23/2)
Yes, it is linear.
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x-2x^2+3= x-7 over 2
2x-4x^2+6=x-7
4x^2-x-13=0
Not linear
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Determine the x and y intercepts of the following linear equations, if possible, and then graph the equations.
4x-3y=12
Let x=0, y=-4 (This is the y-intercept)
Let y=0, x=3 (This is the x-intercept)
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x+2y=7
Let x=0, y=7/2 (This is the y-intercept)
Let y=0, x=7 (This is the x-intercept)
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y-x=x-y
2y-2x=0
y-x=0
y=x
If x=0, y=0 ( this is the x-intercept and the y-intercept)
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Cheers,
Stan H.
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