Verified Answer :

JvitorBR

Hi

2x - 3y = 6
-3y = -2x + 6
y = -2x/-3 + 6/-3
y = 2x/3 - 2

For x=-1/2

y = 2(-1/2)/3 - 2
y = -1/3 - 2
y = (-1-6)/3
y = -7/3

2(-1/2) = -2/2 = -1
2(-1/2)/3 = -1/3

Answer: -7/3

Answer:

A. \(-\frac{7}{3}\)

Step-by-step explanation:

We have been given that the point \((-\frac{1}{2},y)\) lies on the line whose equation is \(2x-3y=6\). We are asked to find the value of y.

To find the value of y, we will substitute \(x=-\frac{1}{2}\) in our given equation as:

\(2(-\frac{1}{2})-3y=6\)

\(-1-3y=6\)

\(-1+1-3y=6+1\)

\(-3y=7\)

\(\frac{-3y}{-3}=\frac{7}{-3}\)

\(y=-\frac{7}{3}\)

Therefore, the value of y is \(-\frac{7}{3}\)

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