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Solve the following system of equations.express your answer as an ordered pair in the format (a,b) with no spaces between the numbers or symbols .

3x+4y=17
-4x-3y=-18

User Vladon
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1 Answer

3 votes

Answer: (3,2)

Explanation:

For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.

9x+12y=51

-16x-12y=-72

Now, we can add the 2 equations together for the y to cancel out.

-7x=-21

x=3

Since we know x, we can plug it into any of the equations to find y.

3(3)+4y=17

9+4y=17

4y=8

y=2

With out x and y value, we can put them into an ordered pair. (3,2)

User Pecata
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