Solve the equation for y. 3x−7y=11 (1 point) y=
Then find the value of y for each value of x. (Type an integer or as a simplified fraction) (3 points)
When x=−2 , the value of y is
When x=0 , the value of y is
When x=2 , the value of y is
To solve the equation 3x - 7y = 11 for y, we need to isolate y on one side of the equation.
First, subtract 3x from both sides of the equation:
-7y = 11 - 3x
Next, divide by -7 to solve for y:
y = (11 - 3x)/(-7)
Now we can find the value of y for each given value of x:
When x = -2:
y = (11 - 3(-2))/(-7)
y = (11 + 6)/(-7)
y = 17/(-7)
y = -17/7
When x = 0:
y = (11 - 3(0))/(-7)
y = 11/(-7)
y = -11/7
When x = 2:
y = (11 - 3(2))/(-7)
y = (11 - 6)/(-7)
y = 5/(-7)
y = -5/7
Therefore, the value of y when x = -2 is -17/7, when x = 0 is -11/7, and when x = 2 is -5/7.