Solve Each equation by first dividing each side of the equation by the number outside the parentheses. When would you recommend using this method to solve an equation? Explain.

A. 9(x-4)=72. B. 8(x+5)=60

WELL FIRST MULTIPLY THE OUTER NUMBER TO THE INSIDE. 9X-36=72 YOU DIVIDE 9 TO ALL THE NUMBERS.AND YOU WILL GET X-4=8 FINALLY YOU ADD 4 TO 8 AND THIS EQUAL 12 SO ITS X=12 SEE,NOW YOU DO THE SAME THING TO THE NEXT ONE GOOD LUCK!

(3^2)(3^-8)

No. :)

To solve each equation by first dividing each side of the equation by the number outside the parentheses, we follow these steps:

A. 9(x-4) = 72

1. Divide both sides of the equation by 9: [9(x-4)] / 9 = 72 / 9
Simplifying, we have: x - 4 = 8

2. Solve for x by isolating it on one side of the equation. In this case, we can add 4 to both sides: x - 4 + 4 = 8 + 4
Simplifying further: x = 12

B. 8(x+5) = 60

1. Divide both sides of the equation by 8: [8(x+5)] / 8 = 60 / 8
Simplifying, we have: x + 5 = 7

2. Solve for x by isolating it on one side of the equation. In this case, we can subtract 5 from both sides: x + 5 - 5 = 7 - 5
Simplifying further: x = 2

When to use this method:

This method of dividing each side of an equation by the number outside the parentheses is known as the division property of equality. It is applied when we have an equation that involves multiplication or division and we want to isolate the variable on one side.

In both equations (A and B), we can see that the variable is being multiplied by a number outside the parentheses (9 and 8, respectively). To undo this multiplication and isolate the variable, we divide both sides of the equation by that number.

We use this method when we want to simplify the equation and make it easier to solve for the variable. By dividing each side by the number outside the parentheses, we can reduce the equation to a simpler form, where the variable is isolated, and then solve for its value.

So, to summarize, we recommend using this method when you have an equation involving multiplication or division and you want to simplify it by isolating the variable on one side.