Question

Solve for y in the equation ax + by = c. Given d = (c - 5)/n, solve for c.

A) y = (c - ax)/b
B) y = (c - ax - 5)/b
C) y = (c - 5 - ax)/b
D) y = (c - 5)/b

Answer 1

To solve for y in the given equation, we subtract ax from both sides and then divide by b to isolate y. The correct equation is y = (c - ax)/b. To solve for c given d, we multiply d by n and then add 5, resulting in c = nd + 5.

Step-by-step explanation:

To solve for y in the equation ax + by = c, we need to isolate y to one side of the equation. Here's how you can do it:

1. Our equation is ax + by = c.
2. Subtract ax from both sides to get by = c - ax.
3. Divide both sides by b to isolate y, which gives us y = (c - ax) / b.

For the second part, given that d = (c - 5)/n, we need to solve for c. This is done by following these steps:

1. Start with the given equation d = (c - 5) / n.
2. Multiply both sides by n to get nd = c - 5.
3. Add 5 to both sides to isolate c, giving us c = nd + 5.

Therefore, the correct option for solving for y is A) y = (c - ax)/b, and to solve for c given d, we use c = nd + 5.