Question

Solve the equation 15x - 11y = -16 in proper fraction or improper fraction in simplest form.

A) y = -15x + 16/11
B) y = 15x - 16/11
C) y = 11/15x - 16
D) y = 11x - 16/15

Answer 1

To solve the equation 15x - 11y = -16, isolate the variable y by moving the term containing x to the other side of the equation. Divide both sides by -11 to solve for y, resulting in y = 15x/11 + 16/11.

Step-by-step explanation:

To solve the equation 15x - 11y = -16, we need to isolate the variable y on one side of the equation. To do this, we'll begin by moving the term containing x to the other side:

15x - 11y = -16

Subtracting 15x from both sides:

-11y = -15x - 16

Next, we need to get y by itself, so we'll divide both sides by -11:

y = -15x/(-11) - 16/(-11)

This simplifies to:

y = 15x/11 + 16/11

So the equation is y = 15x/11 + 16/11. Therefore, the correct option is A) y = -15x + 16/11.