Solve the equation for y. Then find the value of y for each value of x. 3x - 7y = 9; x = - 2, 0, 2 Solve the equation for y. y = (3x - 9)/7 (Simplify your answer. Use integers or fractions for any numbers in the expression.) When x = - 2 the value of y is (Type an integer or a fraction.)

Answer 1

To solve the equation 3x - 7y = 9 for y, we need to isolate y on one side of the equation.

We can start by subtracting 3x from both sides:
-7y = 9 - 3x

Then, we can divide both sides by -7 to solve for y:
y = (9 - 3x)/(-7)

For x = -2, we can substitute this value into the equation:
y = (9 - 3(-2))/(-7)
y = (9 + 6)/(-7)
y = 15/(-7)
y = -15/7

For x = 0, we substitute into the equation as follows:
y = (9 - 3(0))/(-7)
y = 9/(-7)
y = -9/7

For x = 2, we substitute into the equation:
y = (9 - 3(2))/(-7)
y = (9 - 6)/(-7)
y = 3/(-7)
y = -3/7

Therefore, when x = -2, the value of y is -15/7 (or -2.14 to 2 decimal places).