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Question 437721: Hi, i need help please!
1. x+y=10
2x-y=5
2. 3x-2y=5
4x-5y=-5
3. 3x-9y=1
6x-8y=2
4. 4x-y=8
2x+y=6
5. 12x+4y=8
3x+y=6
Which of these equations is independent, dependent or
consistent? please help explain. Thanks
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Which of these pairs of equations is independent, dependent or
consistent? please help explain.
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Put each equation in slope-intercept form.
Note the slope and intercept of each equation.
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If you have a pair of equations with the
same slope and same intercept the equations are dependent.
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If you have a pair of equations with the
same slope and different intercepts the equations are inconsistent.
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If you have a pair of equations with different slopes
the equations are consistent and independent.
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Cheers,
Stan H.
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