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.)
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).
To solve the equation 3x - 7y = 9 for y, we need to isolate y on one side of the equation.
Step 1: Start with the given equation: 3x - 7y = 9.
Step 2: Subtract 3x from both sides of the equation: -7y = -3x + 9.
Step 3: Divide both sides by -7: y = (-3x + 9)/-7.
Simplifying the expression: y = -3x/-7 + 9/-7.
Final Answer: y = 3x/7 - 9/7.
Now, let's find the value of y for each value of x. Given x = -2.
Substituting x = -2 into the equation y = 3x/7 - 9/7.
y = 3(-2)/7 - 9/7.
Simplifying the expression: y = -6/7 - 9/7.
Combining like terms: y = -15/7.
When x = -2, the value of y is -15/7.