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What is the y𝑦-value in the solution to the system of equations below.  3x+5y=−33⁢𝑥+5⁢𝑦=-3−2x−4y=4-2⁢𝑥-4⁢𝑦=4 A. −3-3 C. −6-6 B. 44 D. 5

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Solution

To find the y-value in the solution to the system of equations, we first need to solve the system of equations. The system of equations given is:

3x + 5y = -3 -2x - 4y = 4

We can solve this system of equations by either substitution or elimination. Here, I'll use the elimination method.

First, let's multiply the first equation by 2 and the second equation by 3 to make the coefficients of x in both equations cancel out each other:

6x + 10y = -6 -6x - 12y = 12

Now, add these two equations:

-2y = 6

Finally, solve for y by dividing both sides by -2:

y = 6 / -2 = -3

So, the y-value in the solution to the system of equations is -3. Therefore, the correct answer is A. -3.

This problem has been solved

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