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------------------------------------------------ If [tex]EG = 5x + 2[/tex] and [tex]ED = 4x + 3[/tex], and [tex]EG = ED[/tex], then [tex]x = 1[/tex]. Create a two-column proof to justify your reasoning.

Answer :

EG=5x+2

ED=4x+3

EG=ED

Substiute the value and simplify :

EG=ED

5x + 2 = 4x + 3

Subtract 4x from both side :

5x + 2 - 4x = 4x + 3 - 4x

5x - 4x + 2 = 4x - 4x + 3

x + 2 = 3

Subtarct 2 from both side :

x + 2 - 2 = 3 - 2

x = 1

Statements : Reason :

5x + 2 = 4x + 3 Given ( EG = ED)

x = 1 Simplify the equation 5x + 2 = 4x + 3 for x,

Answer : x = 1, Hence proof

Statements : Reason :

5x + 2 = 4x + 3 Given ( EG = ED)

x = 1 Simplify the equation 5x + 2 = 4x + 3 for x,

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