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