Question

Rewrite the Equation in Ax+By=C form. Use Integers for A,B, and C

Answer 1

-x + 5y = 15

Explanation:

Hello! This question simply asks us to rearrange the equation.

So we have this:

y - 2 = 5(x + 5)

Okay, so we need to get an answer with integers for x and y, but no brackets. This means we can start by expanding them:

5y - 10 = x + 5

now, let's put y and x on the same side of the equation, and numbers on the other side:

5y - x = 5 + 10

5y - x = 15

we can put x first, but it's not necessary:

-x + 5y = 15

A = -1

B = 5

C = 15

And that's it!

I hope this makes sense :))

Answer 2

5x - y = - 27

Explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y - 2 = 5(x + 5) ← distribute parenthesis

y - 2 = 5x + 25 ( add 2 to both sides )

y = 5x + 27 ( subtract 5x from both sides )

- 5x + y = 25 ( multiply through by - 1 )

5x - y = - 27 ← in standard form