84.2k views
1 vote
Erin says the first step is to set Latex: 2x+7

2
x
+
7
equal to Latex: 5x-2\textsf{.}

Antonio says the first step is to set Latex: 2x+7
2
x
+
7
plus Latex: 5x-2
5
x

2
equal to Latex: 180\textsf{.}


Choose either Erin's or Antonio's statement and explain why it is correct or incorrect. If the statement is correct, explain how you know it's correct. If the statement is incorrect, explain why it's wrong.

If you were to solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for Latex: m\angle A\textsf{.}


Please number your responses to the questions as they are shown (1 and 2).

Erin says the first step is to set Latex: 2x+7 2 x + 7 equal to Latex: 5x-2\textsf-example-1
User LettersBa
by
3.8k points

1 Answer

7 votes


\\ \tt\longmapsto 2x+7+5x-2=180


\\ \tt\longmapsto 2x+5x+7-2=180


\\ \tt\longmapsto 7x+5=180


\\ \tt\longmapsto 7x=180-5


\\ \tt\longmapsto 7x=175


\\ \tt\longmapsto x=(175)/(7)


\\ \tt\longmapsto x=25

User JeanK
by
3.5k points