Question 181387: Problem Solving
20. a) Can you solve the linear system y=2x-3 and 4x-2y=6? Explain your reasoning.
b) Can you solve the linear system y=2x-3 and 4x-2y=8? Explain your reasoning.
c) Explain how you can tell, without solving, how many solutions a linear system has?
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Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Problem Solving
20. a) Can you solve the linear system y=2x-3 and 4x-2y=6? Explain your reasoning.
Put both in slope-intercept form.
y = 2x-3
y = 2x-3
The system has an infinite number of solutions of the form (x,2x-3)
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b) Can you solve the linear system y=2x-3 and 4x-2y=8? Explain your reasoning.
c) Explain how you can tell, without solving, how many solutions a linear system has?
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You cannot solve without solving, but you can solve by various methods.
One way is to put both equations in slope-intercept form, comparing
the slopes, and comparing the intercepts.
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Cheers,
Stan H.
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