Solve the equation for y.
3x−7y=11
(1 point)
y=
Question 2
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 for y, we first isolate y by moving the -7y term to the other side:
3x - 7y = 11
-7y = -3x + 11
y = (3x - 11)/7
Now we can use this equation to find the value of y for each given value of x:
When x = -2:
y = (3*(-2) - 11)/7 = (-6 - 11)/7 = -17/7
When x = 0:
y = (3*0 - 11)/7 = (-11)/7 = -11/7
When x = 2:
y = (3*2 - 11)/7 = (6 - 11)/7 = -5/7
Therefore, the value of y for x = -2 is -17/7, for x = 0 is -11/7, and for x = 2 is -5/7.