Math Problem Statement

9x+3y=3

Solution

The given equation is:

9x+3y=39x + 3y = 3

Let's simplify this equation:

  1. Divide the entire equation by 3 to make it simpler:

9x+3y3=33\frac{9x + 3y}{3} = \frac{3}{3}

This simplifies to:

3x+y=13x + y = 1

This is a linear equation in two variables, xx and yy. It can be solved for one variable in terms of the other.

For example, solving for yy:

y=13xy = 1 - 3x

This is the equation of a straight line in slope-intercept form y=mx+by = mx + b, where the slope m=3m = -3 and the y-intercept is 1.

Would you like to solve for specific values of xx or yy, or graph the line?


Here are 5 related questions:

  1. What is the value of yy when x=2x = 2?
  2. What is the slope of the line 3x+y=13x + y = 1?
  3. How do you find the x-intercept of this line?
  4. Can this equation be written in standard form?
  5. How would the graph of this equation look?

Tip: When simplifying equations, always look for common factors you can divide out to make the expression easier to work with!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-Intercept Form: y = mx + b

Theorems

Linear Equation Theorem

Suitable Grade Level

Grades 8-10