High School

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answer :

The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are:

2.3p – 10.1 = 6.4p – 4

2.3p – 10.1 = 6.49p – 4

How do we calculate?

Using algebraic properties to rewrite the given equation

2.3p – 10.1 = 6.5p – 4 – 0.01p:

2.3p – 10.1 = 6.5p – 4 – 0.01p

simplifying the right side of the equation by combining like terms:

2.3p – 10.1 = 6.49p – 4

-10.1 = 4.19p – 4

We add 4 to both sides:

-6.1 = 4.19p

p = -1.453

So the solution to the original equation is p = -1.453.

We will check which of the given equations have the same solution as the original equation by substituting p = -1.453 into each of them and checking if they are true.

The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are:

  • 2.3p – 10.1 = 6.4p – 4
  • 2.3p – 10.1 = 6.49p – 4

Learn more about algebraic properties at: https://brainly.com/question/855307

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