Q: Can you divide both sides of the equation by a negative number?

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The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.

You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.

W is negative 6 (-6). The algebraic equation is 9w = -54 Divide both sides by 9 w = -6

If two sides of an inequality are multiplied (or divided) by a negative number, you have to invert the sign. For example, a "less-than" sign becomes a "greater-than" sign.

You can divide both sides of an equation by any non-zero number and not affect its validity.

Related questions

The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.

I think its a property in which both sides of an equation are equal either by adding, subtracting, multiplication, or division.

The difference is that instead of the sign "=", an inequality sign, for example "<" (less-than) is used. For solving inequalities, you can add, subtract, multiply or divide both sides by the same number, similar to an equation; however, if you multiply or divide by a negative number, the direction of the inequality changes. For example, "<" becomes ">".

You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.

W is negative 6 (-6). The algebraic equation is 9w = -54 Divide both sides by 9 w = -6

Change the direction of the inequality.

If two sides of an inequality are multiplied (or divided) by a negative number, you have to invert the sign. For example, a "less-than" sign becomes a "greater-than" sign.

false

Flip it around

negative flip

You can divide both sides of an equation by any non-zero number and not affect its validity.

You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.