solve the equation for y. then find the value of y for each value of x.

3x-5y=11;x=- 1,0,1

1 answer

To solve the equation for y, we need to isolate y on one side of the equation.

Starting with the equation 3x - 5y = 11:
Subtract 3x from both sides of the equation:
-5y = -3x + 11
Now, divide both sides of the equation by -5 to solve for y:
y = (-3x + 11) / -5

Now, we can substitute the given values for x (-1, 0, 1) into the equation to find the corresponding values of y.

1) x = -1:
y = (-3(-1) + 11) / -5
y = (3 + 11) / -5
y = 14 / -5
y = -2.8

So, when x = -1, y = -2.8.

2) x = 0:
y = (-3(0) + 11) / -5
y = (0 + 11) / -5
y = 11 / -5
y = -2.2

So, when x = 0, y = -2.2.

3) x = 1:
y = (-3(1) + 11) / -5
y = (-3 + 11) / -5
y = 8 / -5
y = -1.6

So, when x = 1, y = -1.6.

The values of y for x = -1, 0, and 1 are -2.8, -2.2, and -1.6, respectively.