How do you rewrite the equation 2x + 4y + 2 + 3y + 5 in general form?

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Rewriting the Equation in General Form

To rewrite the equation 2x + 4y + 2 + 3y + 5 in general form, we will simplify it first and then rearrange it into the standard form of a linear equation, which is:

Ax + By + C = 0,
where A, B, and C are constants.

Step 1: Combine Like Terms

First, let’s combine the like terms in the equation:

  • Combine the y terms: 4y + 3y = 7y
  • Combine the constant terms: 2 + 5 = 7

So, the equation simplifies to:

2x + 7y + 7

Step 2: Rearrange to General Form

Now, we will rearrange the equation into the general form:

Start with:

2x + 7y + 7 = 0

Final General Form

To express it properly in general form:

2x + 7y + 7 = 0

Summary

In conclusion, the equation 2x + 4y + 2 + 3y + 5 rewritten in general form is:

2x + 7y + 7 = 0

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