Y+6=1/3(x-3) into standard form
A- x-3y=21
B- x+3y=9
C-1/3x+y=-9
D-1/3x-y=-12
To convert the equation Y+6=1/3(x-3) into standard form, follow these steps:
Step 1: Distribute the 1/3 on the right side of the equation.
Y + 6 = (1/3)x - 1
Step 2: Move the Y term to the left side by subtracting Y from both sides.
Y - Y + 6 = (1/3)x - 1 - Y
6 = (1/3)x - Y - 1
Step 3: Move the constant term (-1) from the right side to the left side by adding 1 to both sides.
6 + 1 = (1/3)x - Y - 1 + 1
7 = (1/3)x - Y
Step 4: Rearrange the equation to have the x term and the y term on the left side, and the constant term on the right side.
(1/3)x - Y = 7
Multiply the whole equation by 3 to clear the fraction:
3 * ((1/3)x - Y) = 3 * 7
x - 3Y = 21
Therefore, the equation Y+6=1/3(x-3) in standard form is:
A) x - 3Y = 21
To rewrite the equation Y + 6 = 1/3 (X - 3) into standard form, we need to eliminate the fractions and rearrange the equation in a particular form.
First, let's distribute the 1/3 to the terms inside the parentheses:
Y + 6 = 1/3 X - 1
Next, let's get rid of the fraction by multiplying every term by 3:
3(Y + 6) = (1/3 X - 1) * 3
3Y + 18 = X - 3
Now, let's rearrange the equation so that the X and Y terms are on the left side and the constant term is on the right side:
X - 3 - 3Y = 18
Finally, we can rewrite this equation in standard form, which is Ax + By = C. To do this, we'll move all the terms to the left side and arrange them in the correct order:
X - 3 - 3Y = 18
X - 3Y = 21
Therefore, the equation Y + 6 = 1/3 (X - 3) in standard form is A) x - 3y = 21.
C and D are out, because you want integers.
multiply by 3 and your equation becomes
3y+18 = x-3
Now finish it off.