Math Problem Statement

8x - y = 3

Solution

The equation shown in the image is:

8xy=38x - y = 3

This is a linear equation in two variables, xx and yy.

If you'd like to solve for yy, we can rearrange the equation into slope-intercept form:

y=8x3y = 8x - 3

Here, y=8x3y = 8x - 3 is the equation in the form y=mx+by = mx + b, where:

  • m=8m = 8 is the slope of the line,
  • b=3b = -3 is the y-intercept, i.e., the point where the line crosses the y-axis.

Would you like more details about how to graph this, or perhaps solve for xx if a value for yy is given?

Here are 5 relative questions that could help expand this information:

  1. How do you find the x-intercept of the line?
  2. What would the slope represent in a real-world context?
  3. Can this equation represent a system of equations if paired with another one?
  4. How do you convert this into standard form if rearranged differently?
  5. What happens to the graph when the slope is altered?

Tip: Always check if your equation can be simplified or factored before solving to make it easier!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-10