Math Problem Statement

write x+3y=10

Solution

The equation you've provided is:

x+3y=10x + 3y = 10

This is a linear equation in two variables, xx and yy. If you'd like, we can rearrange it to solve for one variable in terms of the other. For example, solving for xx:

x=103yx = 10 - 3y

Would you like to proceed with solving this for a specific value of yy, or would you like more details on the graph or any further steps? Let me know!

Follow-up questions:

  1. What does the graph of the equation x+3y=10x + 3y = 10 look like?
  2. How can I solve for yy in terms of xx?
  3. How do you graph linear equations like this one?
  4. What is the slope and y-intercept of this equation?
  5. What are some real-world examples where this equation might apply?

Tip:

Linear equations represent straight lines, and understanding the slope-intercept form can help you graph them easily.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables
Graphing Linear Equations

Formulas

x + 3y = 10
x = 10 - 3y

Theorems

Linear equation theorem
Slope-intercept form

Suitable Grade Level

Grades 7-9