Solve the equation for y. 3x−7y=11 (1 point)
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 need to isolate y on one side of the equation:
3x - 7y = 11
Subtract 3x from both sides:
-7y = -3x + 11
Divide by -7 to solve for y:
y = (3/7)x - 11/7
When x = -2:
y = (3/7)(-2) - 11/7
y = -6/7 - 11/7
y = -17/7
When x = 0:
y = (3/7)(0) - 11/7
y = 0 - 11/7
y = -11/7
When x = 2:
y = (3/7)(2) - 11/7
y = 6/7 - 11/7
y = -5/7
Therefore, when x = -2, the value of y is -17/7, when x = 0, the value of y is -11/7, and when x = 2, the value of y is -5/7.