Math Problem Statement

2x+y=5

Solution

The given equation is:

2x+y=52x + y = 5

There are several ways to work with this equation depending on what you need. For instance, we can solve for yy in terms of xx, or for xx in terms of yy. Let me solve for yy in terms of xx:

y=52xy = 5 - 2x

This is the equation of a straight line in slope-intercept form, where the slope is 2-2 and the y-intercept is 55.

Would you like further details or specific questions on this?

Here are five related questions:

  1. What is the slope of the line represented by 2x+y=52x + y = 5?
  2. How do we find the x- and y-intercepts of this line?
  3. What is the solution to this equation if x=1x = 1?
  4. Can you plot this equation on a graph and find its key features?
  5. How would you solve for xx if y=3y = 3?

Tip: For any linear equation in the form ax+by=cax + by = c, rearranging it into slope-intercept form y=mx+by = mx + b helps in quickly identifying the slope and intercept.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b
Slope = -a/b

Theorems

Linear Equation Theorem
Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8