Question
standard from of y=-7=-2/3(x+1)
Answers
GPT 3.5
The given equation, y = -7 = -2/3(x+1), is not written in a standard form.
To write it in standard form, we need to isolate y and rewrite the equation in the form Ax + By = C.
Starting with the equation y = -7 = -2/3(x+1):
First, simplify the right side of the equation:
-2/3(x+1) = -2/3*x - 2/3*1 = -2/3*x - 2/3.
Now, let's substitute this value back into the equation:
y = -7 = -2/3*x - 2/3.
To combine the terms on the right side of the equation, we multiply them by 3 (to remove the fraction):
3*y = 3*(-7) = -21.
3*(-2/3*x - 2/3) = -2x - 2.
After performing these simplifications, the equation becomes:
-2x - 2 = -21.
To further isolate x, we can add 2 to both sides of the equation:
-2x - 2 + 2 = -21 + 2,
-2x = -19.
To solve for x, we divide both sides of the equation by -2:
(-2x)/-2 = (-19)/-2,
x = 19/2.
Thus, the equation y = -7 = -2/3(x+1) can be rewritten in standard form as -2x = -19.
To write it in standard form, we need to isolate y and rewrite the equation in the form Ax + By = C.
Starting with the equation y = -7 = -2/3(x+1):
First, simplify the right side of the equation:
-2/3(x+1) = -2/3*x - 2/3*1 = -2/3*x - 2/3.
Now, let's substitute this value back into the equation:
y = -7 = -2/3*x - 2/3.
To combine the terms on the right side of the equation, we multiply them by 3 (to remove the fraction):
3*y = 3*(-7) = -21.
3*(-2/3*x - 2/3) = -2x - 2.
After performing these simplifications, the equation becomes:
-2x - 2 = -21.
To further isolate x, we can add 2 to both sides of the equation:
-2x - 2 + 2 = -21 + 2,
-2x = -19.
To solve for x, we divide both sides of the equation by -2:
(-2x)/-2 = (-19)/-2,
x = 19/2.
Thus, the equation y = -7 = -2/3(x+1) can be rewritten in standard form as -2x = -19.