Question

Solve the equation for y, -5x + 2y = 10.

y = 5x + 5/2

Answer 1

To solve the linear equation -5x + 2y = 10 for y, add 5x to both sides and then divide by 2, resulting in the solution y = 2.5x + 5.

Step-by-step explanation:

The student has asked to solve the equation for y, given the equation -5x + 2y = 10. To solve for y, we need to isolate y on one side of the equation. Here are the steps:

1. Add 5x to both sides of the equation: -5x + 2y + 5x = 10 + 5x, which simplifies to 2y = 5x + 10.
2. Divide both sides of the equation by 2 to get y by itself: 2y / 2 = (5x + 10) / 2, resulting in y = (5/2)x + 5.

The solution for y is y = (5/2)x + 5, which can also be written as y = 2.5x + 5.