Math Problem Statement

x-2y+2=0

Solution

The given equation is:

x2y+2=0x - 2y + 2 = 0

Let's solve this for yy in terms of xx.

Step 1: Isolate the xx term.

Move the xx to the other side:

2y+2=x-2y + 2 = -x

Step 2: Subtract 2 from both sides.

2y=x2-2y = -x - 2

Step 3: Divide by 2-2 to solve for yy.

y=x22y = \frac{-x - 2}{-2}

Simplify: y=x+22y = \frac{x + 2}{2}

Thus, the equation in terms of yy is: y=x+22y = \frac{x + 2}{2}

Would you like more details or have any questions?


Here are five related questions to consider:

  1. What is the slope and intercept of the line y=x+22y = \frac{x + 2}{2}?
  2. How would you graph this equation on the Cartesian plane?
  3. Can you express this line in point-slope form?
  4. How would the equation change if you doubled all the coefficients?
  5. What happens if the constant term in the original equation is altered?

Tip: When isolating variables, always aim to simplify terms as much as possible to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

Slope-intercept form: y = mx + b
Rearranging linear equations

Theorems

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Suitable Grade Level

Grades 7-9