Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Sure! Let's go through the solution to the equation [tex]\(2x + 5 = 19\)[/tex] step-by-step and match each step to its justification.
1. Start with the given equation:
[tex]\[ 2x + 5 = 19 \][/tex]
- Justification: given
2. Subtract 5 from both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[ 2x + 5 - 5 = 19 - 5 \][/tex]
- Justification: subtraction property of equality
3. Simplify the equation after subtraction:
[tex]\[ 2x = 14 \][/tex]
- Justification: subtract
4. Divide both sides of the equation by 2 to solve for [tex]\(x\)[/tex]:
[tex]\[ 2x / 2 = 14 / 2 \][/tex]
- Justification: division property of equality
5. Simplify the equation after division to find the value of [tex]\(x\)[/tex]:
[tex]\[ x = 7 \][/tex]
- Justification: divide
Matching each step with its justification, we get the following pairs:
1. [tex]\(2x + 5 = 19\)[/tex] - Justification: given
2. [tex]\(2x + 5 - 5 = 19 - 5\)[/tex] - Justification: subtraction property of equality
3. [tex]\(2x = 14\)[/tex] - Justification: subtract
4. [tex]\(2x / 2 = 14 / 2\)[/tex] - Justification: division property of equality
5. [tex]\(x = 7\)[/tex] - Justification: divide
1. Start with the given equation:
[tex]\[ 2x + 5 = 19 \][/tex]
- Justification: given
2. Subtract 5 from both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[ 2x + 5 - 5 = 19 - 5 \][/tex]
- Justification: subtraction property of equality
3. Simplify the equation after subtraction:
[tex]\[ 2x = 14 \][/tex]
- Justification: subtract
4. Divide both sides of the equation by 2 to solve for [tex]\(x\)[/tex]:
[tex]\[ 2x / 2 = 14 / 2 \][/tex]
- Justification: division property of equality
5. Simplify the equation after division to find the value of [tex]\(x\)[/tex]:
[tex]\[ x = 7 \][/tex]
- Justification: divide
Matching each step with its justification, we get the following pairs:
1. [tex]\(2x + 5 = 19\)[/tex] - Justification: given
2. [tex]\(2x + 5 - 5 = 19 - 5\)[/tex] - Justification: subtraction property of equality
3. [tex]\(2x = 14\)[/tex] - Justification: subtract
4. [tex]\(2x / 2 = 14 / 2\)[/tex] - Justification: division property of equality
5. [tex]\(x = 7\)[/tex] - Justification: divide
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.