# How do you solve the following system?: #11x -23y =-13 , -23x +17y = 8#

Reorder one of the equations to express y in terms of x, and then substitute into the other equation and resolve for x. Substitute this value for x back into the first equation and evaluate for y.

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To solve the system of equations:

[11x - 23y = -13] [-23x + 17y = 8]

You can use either the substitution method or the elimination method. Let's use the elimination method. Multiply the first equation by 17 and the second equation by 11 to eliminate (y):

[187x - 391y = -221] [-253x + 187y = 88]

Now, add the two equations together:

[187x - 391y - 253x + 187y = -221 + 88]

[187x - 253x - 391y + 187y = -133]

[ -66x = -133]

[ x = 2]

Substitute (x = 2) into one of the original equations, let's use the first one:

[11(2) - 23y = -13]

[22 - 23y = -13]

[ -23y = -35]

[ y = \frac{35}{23}]

So, the solution to the system is (x = 2) and (y = \frac{35}{23}).

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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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