136k views
3 votes
If EG=5x+2 and ED=4x+3 and EG=ED then x=1. Create a two-column proof to justify your reasoning,

1 Answer

3 votes

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,

User Roli Agrawal
by
4.1k points