Math Problem Statement

What is the x-intercept when 5x + 3y = 15 is graphed?

Solution

The question visible in the image is:

"What is the x-intercept when 5x + 3y = 15 is graphed?"

To find the x-intercept, set y=0y = 0 and solve for xx.

Starting with the equation: 5x+3y=155x + 3y = 15 Set y=0y = 0: 5x+3(0)=15    5x=155x + 3(0) = 15 \implies 5x = 15 Solve for xx: x=155=3x = \frac{15}{5} = 3

Thus, the x-intercept is x=3x = 3.

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

Here are five related questions for practice:

  1. How do you find the y-intercept of the same equation?
  2. What are the slope and y-intercept of the line 5x+3y=155x + 3y = 15?
  3. How do you graph the line given by 5x+3y=155x + 3y = 15?
  4. If the equation was 5x+3y=205x + 3y = 20, what would the new x-intercept be?
  5. What is the general method for finding the x-intercept of any linear equation?

Tip: To find the x-intercept, always set y=0y = 0 and solve for xx!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Coordinate Geometry

Formulas

General form of a linear equation: Ax + By = C
To find x-intercept, set y = 0 and solve for x

Theorems

Intercept theorem (relation between a line and its intercepts on coordinate axes)

Suitable Grade Level

Grades 8-10