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First, you would have to eliminate a variable. Let's multiply each side of the second equation by two.

7y - 3x = -11 => 14y - 6x = -22 => -6x + 14y = -22

Now you have two new equations:

6x - 9y = 19.5

-6x + 14y = -22

Now add the two equations together to eliminate the variable.

0x + 5y = -2.5 => 5y = -2.5 => y = -0.5

Substitute y = -0.5 into an original equation.

6x - 9y = 19.5 => 6x - 9(-0.5) = 19.5 => 6x - (-4.5) = 19.5 => 6x = 15 => x = 2.5

The answer is:

x = 2.5

y = -0.5

or as an ordered pair:

(2.5,-0.5)

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13y ago
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Q: How would you solve this problem 6x - 9y equals 19.5 and 7y - 3x equals -11?
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