Question

Rewrite the following equations in the form ax + by = c, where A is a positive integer.

y = x + 9

y = -6x - 5

y = 2/3x + 1​

Answer 1

y = x + 9 ==> x + (-y) = -9

y = -6x - 5 ==> 6x + y = -5

y = 2/3x + 1​ ==> 2x/3 + (-y) = -1

Explanation:

y = x + 9 ==> isolate the constant 9

**Don't subtract x on both sides as x has to be positive**

y - 9 = x ==> keep x positive by subtracting 9 on both sides

-9 = x - y ==> subtract y on both sides to isolate the constant

x + (-y) = -9 ==> make the equation in the form of ax + by = c

y = -6x - 5 ==> isolate the constant -5

y + 6x = -5 ==> isolate -5 by adding 6x on both sides, making x positive

6x + y = -5 ==> make the equation in the form of ax + by = c

y = 2x/3 + 1​ ==> isolate the constant 9

**Don't subtract 2x/3 on both sides as x has to be positive**

y - 1 = 2x/3 ==> keep x positive by subtracting 1 on both sides

-1 = 2x/3 - y ==> subtract y on both sides to isolate the constant

2x/3 + (-y) = -1 ==> make the equation in the form of ax + by = c