How can you solve for y in the equation 2x + 3y = 6?

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To solve for y in the equation 2x + 3y = 6, you’ll want to isolate y on one side of the equation. Here’s a step-by-step guide:

  1. Start with the original equation:

    2. 2x + 3y = 6

  2. Subtract 2x from both sides:

    3. 3y = 6 – 2x

  3. Now, divide both sides by 3:

    4. y = (6 – 2x) / 3

  4. To simplify:

    5. You can break this down further:

    y = 2 – (2/3)x

So, the final answer with y isolated is:

y = 2 – (2/3)x

This equation shows how y depends on the value of x. You can plug in different values of x to find corresponding values of y.

Remember, having the equation in this form helps you visualize the relationship between the two variables. Each value of x will yield a different y, which can be plotted onto a graph if you’re interested in visualizing it!

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