Answered

Get comprehensive solutions to your questions with the help of IDNLearn.com's experts. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

Match each step to its justification to solve [tex]\(2x + 5 = 19\)[/tex]:

1. [tex]\(2x + 5 = 19\)[/tex] - Given
2. [tex]\(2x + 5 - 5 = 19 - 5\)[/tex] - Subtract
3. [tex]\(2x = 14\)[/tex] - Simplify
4. [tex]\(\frac{2x}{2} = \frac{14}{2}\)[/tex] - Divide
5. [tex]\(x = 7\)[/tex] - Division property of equality

Sagot :

GinnyAnsweridn
Sure, let's solve the equation step-by-step, matching each step to its justification:

1. Given Equation:
[tex]\[ 2x + 5 = 19 \][/tex]
Justification: given

2. Subtract 5 from both sides:
[tex]\[ 2x + 5 - 5 = 19 - 5 \][/tex]
Simplifying this, we get:
[tex]\[ 2x = 14 \][/tex]
Justification: subtract

3. Divide both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{14}{2} \][/tex]
Simplifying this, we get:
[tex]\[ x = 7 \][/tex]
Justification: division property of equality

So, the steps and their justifications are:

1. [tex]\(2x + 5 = 19\)[/tex] — given
2. [tex]\(2x + 5 - 5 = 19 - 5\)[/tex] — subtract
3. [tex]\(2x = 14\)[/tex]
4. [tex]\(\frac{2x}{2} = \frac{14}{2}\)[/tex] — division property of equality
5. [tex]\(x = 7\)[/tex]

Hence, the solution matches each step to its justification.
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.