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Use properties to rewrite the given equation. Which equations have the same solution as the equation

x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x

Select three options.

x + StartFraction 8 Over 5 EndFraction x plus StartFraction 2 Over 3 EndFraction equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x. = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x
18x + 20 + 30x = 15 – 6x
18x + 20 + x = 15 – 6x
24x + 30x = –5
12x + 30x = –5

Respuesta :

jayilych4real

The equations that have the same solution as the equation x + + x = – x are:

  • A. 8/5x + 2/3 = 1/2 – 1/5x
  • B. 18x + 20 + 30x = 15 – 6x
  • D. 24x + 30x = –5

Calculations and Parameters

Given that we want to rewrite this equation:

³/₅x + ²/₃ + x = ¹/₂ – ¹/₅x

If we collect like terms,

(³/₅ + 1)x + ²/₃ = ¹/₂ – ¹/₅x

Further expansion of brackets would give:

⁸/₅x + ²/₃ = ¹/₂ – ¹/₅x

This solution is the same as the solution in Option A

If we solve the others, we would use the multiplication property of equality and additive property of equality we would get the values in options B and D.

Read more about algebraic properties of equality here:

https://brainly.com/question/13476564

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Answer:

ABD

Explanation:

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