Question

4x-8=9y-5 in standard form

Answer 1

To rewrite the equation 4x - 8 = 9y - 5 in standard form, you begin by adding 8 to both sides and then subtract 9y from both sides, resulting in the equation 4x - 9y = 3.

Step-by-step explanation:

To rewrite the equation 4x - 8 = 9y - 5 in standard form, we want to arrange it as Ax + By = C, where A, B, and C are integers, and A is non-negative. Let's move all terms involving variables to one side and the constant term to the other side.

First, add 8 to both sides of the equation to get rid of the -8 on the left side:

4x = 9y - 5 + 8

Now, combine like terms:

4x = 9y + 3

To complete the standard form, we need to move the y-term to the left side by subtracting 9y from both sides:

4x - 9y = 3

Now the equation is in standard form. Here, A is 4, B is -9, and C is 3, and we've made sure that A is positive, as required by the standard form conventions.