12.8k views
1 vote
Solve the equation for y, -5x + 2y = 10.

y = 5x + 5/2

User FutureCake
by
8.4k points

1 Answer

7 votes

Final answer:

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.

User Fulkron
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories