Math Problem Statement

2x+y=5

Solution

You have the linear equation:

2x+y=52x + y = 5

This equation represents a straight line when plotted on a graph. To solve for one variable in terms of the other, you can rearrange it.

Solving for yy:

y=52xy = 5 - 2x

Now, the equation is in slope-intercept form y=mx+by = mx + b, where m=2m = -2 (the slope) and b=5b = 5 (the y-intercept).

If you want to find specific solutions for xx or yy, or if you need further information, let me know!


Would you like any more details or examples related to this equation?
Here are 5 related questions you could explore:

  1. What are the solutions for xx when y=0y = 0?
  2. How do you graph the equation 2x+y=52x + y = 5?
  3. What happens to the line when the equation changes to 2xy=52x - y = 5?
  4. How can you solve a system of equations involving 2x+y=52x + y = 5?
  5. How would you find the intersection point of this line with another line, say x+y=3x + y = 3?

Tip: Always rearrange linear equations to y=mx+by = mx + b form when plotting or analyzing. It makes the slope and y-intercept easy to identify!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Linear equation in the form of y = mx + b

Theorems

Slope-intercept form theorem

Suitable Grade Level

Grades 7-9