Math Problem Statement

5x+y=9

Solution

The given equation is:

5x+y=95x + y = 9

To solve or analyze this equation, we can explore different scenarios:

  1. Solve for yy in terms of xx: y=95xy = 9 - 5x

  2. Solve for xx in terms of yy: x=9y5x = \frac{9 - y}{5}

  3. Find specific solutions: By substituting values of xx or yy, we can find corresponding values of the other variable.
    For example:

    • If x=1x = 1, then y=95(1)=4y = 9 - 5(1) = 4.
    • If y=0y = 0, then x=905=1.8x = \frac{9 - 0}{5} = 1.8.
  4. Graphing: This equation represents a straight line in a two-dimensional coordinate system with:

    • Slope m=5m = -5
    • Y-intercept at (0,9)(0, 9).

Would you like to graph this equation or solve for specific values?

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra
Slope-Intercept Form

Formulas

y = 9 - 5x
x = (9 - y) / 5

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9