rewrite the equation so that y is a function of x.then use the result to find y when x= -2,-1,0,1 6x-2y=10
i meant 6x-2y=10
To rewrite the equation so that y is a function of x, we need to isolate y on one side of the equation.
Starting with the equation:
6x - 2y = 10
Step 1: Subtract 6x from both sides to get rid of the x-term:
-2y = -6x + 10
Step 2: Divide both sides by -2 to isolate y:
y = (6x - 10) / 2
Now that we have y as a function of x, we can substitute different values of x to find the corresponding values of y.
When x = -2:
y = (6(-2) - 10) / 2
y = (-12 - 10) / 2
y = -22 / 2
y = -11
When x = -1:
y = (6(-1) - 10) / 2
y = (-6 - 10) / 2
y = -16 / 2
y = -8
When x = 0:
y = (6(0) - 10) / 2
y = (0 - 10) / 2
y = -10 / 2
y = -5
When x = 1:
y = (6(1) - 10) / 2
y = (6 - 10) / 2
y = -4 / 2
y = -2
Therefore, when x = -2, y = -11; when x = -1, y = -8; when x = 0, y = -5; and when x = 1, y = -2.
To rewrite the equation so that y is a function of x, we need to isolate y on one side of the equation.
Starting with the equation 6x - 2y = 10:
Step 1: Subtract 6x from both sides to eliminate the x term.
6x - 6x - 2y = 10 - 6x
-2y = -6x + 10
Step 2: Divide both sides by -2 to solve for y.
(-2y) / (-2) = (-6x + 10) / (-2)
y = 3x - 5
Now that we have rewritten the equation so that y is a function of x as y = 3x - 5, we can use this result to find the values of y for different values of x.
When x = -2:
y = 3(-2) - 5
y = -6 - 5
y = -11
When x = -1:
y = 3(-1) - 5
y = -3 - 5
y = -8
When x = 0:
y = 3(0) - 5
y = 0 - 5
y = -5
When x = 1:
y = 3(1) - 5
y = 3 - 5
y = -2
So, for x = -2, -1, 0, and 1, the corresponding values of y are -11, -8, -5, and -2, respectively.