Here is an equation 2x + 9 = -15. Write three different equations that have the same solution as 2x + 9 = -15. Show or explain how you found them.

To find those equations we can do any multiplication or division of both sides of the equation:

Examples:

2x + 9 = -15              | · 2

4x + 18 = -30

2x + 9 = -15              | · (-1)

-2x - 9 = 15

2x + 9 = -15               | ÷ 2

x + 4.5 = -7.5

There is the same solution: x = -12.

The three different equations (x = -12, 2x = -24, and -2x - 9 = 15) that have the same solution as the original equation 2x + 9 = -15.

To find three different equations that have the same solution as 2x + 9 = -15, we can manipulate the given equation using algebraic operations. The goal is to preserve the solution while changing the form of the equation. Here are three different equations:

Subtract 9 from both sides of the equation:

2x + 9 - 9 = -15 - 9

2x = -24

Divide both sides of the equation by 2:

(2x)/2 = (-24)/2

x = -12

This equation, x = -12, has the same solution as 2x + 9 = -15.

Multiply both sides of the equation by -1:

-1(2x + 9) = -1(-15)

-2x - 9 = 15

This equation, -2x - 9 = 15, has the same solution as 2x + 9 = -15.

By applying these transformations, we obtained three different equations (x = -12, 2x = -24, and -2x - 9 = 15) that have the same solution as the original equation 2x + 9 = -15.

To know more about equations:

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