Math Problem Statement

10 = -5x + 2y

Solution

The given equation is:

10=5x+2y10 = -5x + 2y

To solve for either xx or yy, we can rearrange the equation. Let's solve for yy in terms of xx:

  1. Start by isolating 2y2y: 2y=10+5x2y = 10 + 5x

  2. Now, divide both sides by 2 to solve for yy: y=10+5x2y = \frac{10 + 5x}{2}

Simplifying: y=5+5x2y = 5 + \frac{5x}{2}

This is the equation of yy in terms of xx. If you need to solve for xx, let me know!

Would you like to see more details or explore further solutions?

Here are 5 related questions:

  1. How would you graph this linear equation?
  2. What happens if you substitute a specific value for xx?
  3. Can you find the intercepts of this line?
  4. How do you convert this equation to slope-intercept form y=mx+by = mx + b?
  5. How do we solve for xx instead of yy?

Tip: When solving equations, always perform inverse operations to isolate the variable you need to solve for.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

2y = 10 + 5x
y = (10 + 5x) / 2

Theorems

Rearranging and solving linear equations

Suitable Grade Level

Grades 8-10