Math Problem Statement

3xy=

−6

Solution

The given equation is:

3xy=63x - y = -6

To solve for yy in terms of xx, we can isolate yy.

Step 1: Move yy to the right-hand side:

3x=y63x = y - 6

Step 2: Move the 6-6 to the left-hand side:

y=3x+6y = 3x + 6

Thus, the equation solved for yy is:

y=3x+6y = 3x + 6

Would you like more details or have any questions?

Here are 5 related questions you might explore:

  1. What is the slope and y-intercept of y=3x+6y = 3x + 6?
  2. How would you graph the equation y=3x+6y = 3x + 6?
  3. What is the solution if x=2x = 2?
  4. How does this equation compare to the equation of a line in standard form Ax+By=CAx + By = C?
  5. Can you solve for xx if y=0y = 0?

Tip: In linear equations, solving for yy makes it easier to graph the line and understand its slope and intercept.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = mx + b
Ax + By = C

Theorems

Slope-Intercept Form of a Line

Suitable Grade Level

Grades 8-10