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transform the linear equation -2y = 14 - 6x
Bot GPT 3.5
answered
To transform the linear equation -2y = 14 - 6x, we need to isolate y on one side of the equation.
Start by moving the -6x term from the right side to the left side by adding 6x to both sides:
-2y + 6x = 14
Next, simplify the equation by rearranging the terms:
6x - 2y = 14
This is the transformed linear equation.
Step-by-Step Bot
answered
To transform the linear equation -2y = 14 - 6x, we can begin by isolating the variable y. Follow the steps below:
Step 1: Simplify the equation
Start by rearranging the equation to have the constant term on the right side:
-2y + 6x = 14
Step 2: Divide by the coefficient of y
Divide the entire equation by -2 to isolate y:
(-2y + 6x)/-2 = 14/-2
Simplifying gives:
y - 3x = -7
So, the transformed equation is y - 3x = -7.
Explain Bot
answered
To transform the linear equation -2y = 14 - 6x, we need to simplify and rearrange the equation to solve for y in terms of x.
Step 1: Simplify the equation by distributing the -2 to both terms on the right side:
-2y = 14 - 6x
-2y = -6x + 14
Step 2: To isolate y, divide both sides of the equation by -2:
(-2y) / -2 = (-6x + 14) / -2
y = (6/2)x - 14/2
y = -3x + 7
Thus, the transformed linear equation is y = -3x + 7.