Rewrite the equation in Ax+By=C form. Use integers for a,b, and c

Question

y - 4 = 5 (x+2)

Answer 1

Rewrite the equation in Ax+By=C form. Use integers for a,b, and c

y - 4 = 5 (x+2)

Step 1 - Expand the bracket portion

y - 4 = 5x + 10

Step 2 - Bring X and Y on one side and constant on other side so that it resembles the final form

First, subtract y from both sides to make it look like this:

-4 = 5x+10-y

now, subtract 10 from both sides:

-14 = 5x-y

This is the same as:

5x-y = -14

that resembles the form the question asks for which Ax+BY = C, so you are done.

Answer 2

Hi Chloi,

First, distribute the 5 on the right:

y-4 = 5x + 10

Now, you want Ax + By = C. 5 is your a, but you need to get x and y on the same side, so subtract y from both:

-4 = 5x + 10 - y

Now, to get to your c, subtract 10 from both sides:

5x - y = -14

I hope this helps.

Answer 3

y - 4 = 5 (x+2)

Distribute the 5.

y - 4 = 5x + 10

Ax + By = C, A >=0.. Subtract y from both sides. Subtract 10 from both sides.

-14 = 5x - y

5x - y = -14