Math Problem Statement

y=mx+b solve for x

Solution

To solve the equation y=mx+by = mx + b for xx, follow these steps:

  1. Subtract bb from both sides of the equation: yb=mxy - b = mx

  2. Divide both sides of the equation by mm: x=ybmx = \frac{y - b}{m}

Thus, the solution for xx is: x=ybmx = \frac{y - b}{m}

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. What happens if m=0m = 0 in the equation y=mx+by = mx + b?
  2. How would you interpret mm and bb in the context of a graph?
  3. Can you rewrite y=mx+by = mx + b in a different form, like slope-intercept form?
  4. How do you find the slope mm if given two points on a line?
  5. How do you calculate the xx-intercept from the equation y=mx+by = mx + b?

Tip: Always check for special cases like m=0m = 0, which results in a horizontal line.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for a Variable

Formulas

y = mx + b
x = (y - b) / m

Theorems

Linear Equation Slope-Intercept Form

Suitable Grade Level

Grades 8-10