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snow_tiger [21]
3 years ago
8

What is the solution to the system of equations?

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

So for this, I will be using the elimination method. So firstly, multiply both sides of the first equation by 2 and both sides of the second equation by 3:

\left \{ {{8x-6y=52} \atop {9x+6y=33}} \right.

Now add the two equations to get 17x=85 . From here you can solve for x. For this, just divide both sides by 17, and your first answer will be x=5

Now that we have the value of x, substitute it into either equation to solve for y:

4*5-3y=26\\ 20-3y=26\\ -3y=6\\ y=-2\\ \\ 3*5+2y=11\\ 15+2y=11\\ 2y=-4\\ y=-2

<h3><u>In short, x = 5 and y = -2.</u></h3>
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