Math Problem Statement

2y=5x+4 solve for y

Solution

To solve the equation 2y=5x+42y = 5x + 4 for yy, follow these steps:

  1. Divide both sides of the equation by 2 to isolate yy: y=5x+42y = \frac{5x + 4}{2}

    Or, you can split the fraction: y=5x2+42y = \frac{5x}{2} + \frac{4}{2}

  2. Simplify the second term: y=5x2+2y = \frac{5x}{2} + 2

So, the solution is: y=5x2+2y = \frac{5x}{2} + 2

Would you like further details or clarification on any steps?


Here are some related questions you can explore:

  1. How would you graph the equation y=5x2+2y = \frac{5x}{2} + 2?
  2. What is the slope and y-intercept of the equation y=5x2+2y = \frac{5x}{2} + 2?
  3. How can we solve for xx if y=7y = 7?
  4. How does the equation change if we have a coefficient other than 5 for xx?
  5. What would the equation look like if it were written in standard form?

Tip: When solving linear equations, always look for ways to isolate the variable you’re solving for.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for a Variable

Formulas

y = (mx + b) (Slope-Intercept Form)

Theorems

Properties of Equality

Suitable Grade Level

Grades 6-8