gbranden218
Answered

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

Answer :

guskarose

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.

MrRoyal

Equations with the same solutions are equivalent equations.

The equivalent equations are: [tex]\mathbf{4x + 18 = -30}[/tex], [tex]\mathbf{2x + 14 = -10}[/tex] and [tex]\mathbf{2x = -24}[/tex]

The equation is given as:

[tex]\mathbf{2x + 9 = -15}[/tex]

Multiply through by 2

[tex]\mathbf{4x + 18 = -30}[/tex]

Add 5 to both sides of [tex]\mathbf{2x + 9 = -15}[/tex]

[tex]\mathbf{2x + 14 = -10}[/tex]

Collect like terms at: [tex]\mathbf{2x + 9 = -15}[/tex]

[tex]\mathbf{2x = -9-15}[/tex]

[tex]\mathbf{2x = -24}[/tex]

Hence, the equivalent equations are: [tex]\mathbf{4x + 18 = -30}[/tex], [tex]\mathbf{2x + 14 = -10}[/tex] and [tex]\mathbf{2x = -24}[/tex]

Read more about equivalent equations at:

https://brainly.com/question/15715866

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