what is the constant variation

3.2x+3y=6
4.3x-1=7y-1
write each lineat equation in slope intercepy form
1.x=-2y-7
solve the equation
1.x-15=27

The constant variation, also known as the constant of variation or the constant of proportionality, refers to the value that relates two variables in direct variation. In direct variation, as one variable increases or decreases, the other variable also increases or decreases proportionally.

To find the constant variation, we can rearrange the equation in the form of y = kx, where k represents the constant variation.

1. For the equation 3.2x + 3y = 6:
a. Start by isolating y on one side of the equation by subtracting 3.2x from both sides:
3y = -3.2x + 6
b. Divide both sides of the equation by 3 to solve for y:
y = (-3.2/3)x + (6/3)
c. Simplify the equation further:
y = -1.07x + 2

2. For the equation 4.3x - 1 = 7y - 1:
a. Start by isolating y on one side of the equation by adding 1 to both sides:
4.3x = 7y
b. Divide both sides of the equation by 7 to solve for y:
(4.3/7)x = y
c. Simplify the equation further:
y = 0.614x

To write each linear equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we have:

1. For the equation x = -2y - 7:
a. Start by isolating y on one side of the equation by adding 2y to both sides:
x + 2y = -7
b. Rearrange the equation, so y is on the left side and the other terms are on the right side:
2y = -x - 7
c. Divide both sides of the equation by 2 to solve for y:
y = (-1/2)x - 7/2

To solve the equation x - 15 = 27:
a. Start by isolating x on one side of the equation by adding 15 to both sides:
x = 27 + 15
b. Perform the addition operation:
x = 42

Therefore, the solution to the equation x - 15 = 27 is x = 42.