Rewrite the equation in standard form- y=4/3x+7, y=5/2-2

Answer 1

Standard form is Ax + By = C

In general, the A (the number on the x) needs to be positive and all the numbers need to be integers (not fractions)

#1 y = 4/3x + 7

To get rid of the fraction, multiply everything by 3. This cancels the 3 in the 4/3 and leaves only 4

3y = 4x + 21

subtract 4x. We want x and y on the same side

-4x + 3y = 21

Since A is -4 right now and we want it to be positive, let’s flip the signs of all our numbers

4x - 3y = -21 standard form

#2

y = 5/2x - 2 multiply everything by 2 to cancel the fraction

2y = 5x-4 subtract 5x from both sides

-5x + 2y = -4

Since A = -5 flip all the signs

5x - 2y = 4 standard form