# How do you determine whether a linear system has one solution, many solutions, or no solution when given 6x +y= -6 and 4x+3y= 17?

In this case we can reformulate the equations as two slope intercept equations describing lines of different slope and therefore one solution.

Slope intercept form of the equation of a line is:

Since the slopes of the two lines are different, the lines intersect at exactly one point.

graph{(6x+y+6)(4x+3y-17) = 0 [-20.78, 19.22, -4.16, 15.84]}

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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