Math Problem Statement

X-2+y=1

Solution

To solve the equation x2+y=1x - 2 + y = 1, follow these steps:

  1. Isolate one variable: Let's isolate yy. y=1x+2y = 1 - x + 2 Simplify the right side: y=3xy = 3 - x

So, the equation simplifies to: y=3xy = 3 - x

This represents a linear relationship between xx and yy, where for any value of xx, you can find the corresponding value of yy.

Would you like further details on this, or do you have any questions?

Here are 5 related questions for further practice:

  1. If x=2x = 2, what is the value of yy?
  2. What is the slope of the line represented by y=3xy = 3 - x?
  3. How would you write the equation x2+y=1x - 2 + y = 1 in slope-intercept form?
  4. Can you graph the line y=3xy = 3 - x?
  5. What happens to yy if xx increases by 1?

Tip: The slope of a linear equation in the form y=mx+by = mx + b is the coefficient of xx.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

y = 3 - x (Slope-intercept form of a linear equation)

Theorems

Slope-intercept form theorem

Suitable Grade Level

Grades 6-8