what is -x+3y=6 -10x-3y=27
a) -4
b) 3
c) 1
d) 5
What is the solution to the system of equations -x + 3y = 6 and -10x – 3y = 27
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what is -x+3y=6 -10x-3y=27
a) -4
b) 3
c) 1
d) 5
To solve the system of equations provided, we start with:
1) (-x + 3y = 6)
2) (-10x – 3y = 27)
We can solve this system using substitution or elimination. Let’s use the elimination method for clarity:
First, we can add the two equations to eliminate (y):
[
(-x + 3y) + (-10x – 3y) = 6 + 27
]
This simplifies to:
[
-11x = 33
]
Now, we divide both sides by (-11):
[
x = -3
]
Next, we substitute (x = -3) back into the first equation to find (y):
[
-(-3) + 3y = 6
]
[
3 + 3y = 6
]
[
3y = 6 – 3
]
[
3y = 3
]
[
y = 1
]
Now, we have the solution (x = -3) and (y = 1).
However, based on your answer options, we might need to verify what the question is specifically asking for, but currently, we’ve determined that (y = 1).
Thus, the correct option from your list corresponding to (y) is:
c) 1