Join the IDNLearn.com community and start exploring a world of knowledge today. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.
Sagot :
Certainly! Let's go through each equation step-by-step to find the value of [tex]\( x \)[/tex].
### Equation 1: [tex]\( x - 11 = 20 + 5 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 20 + 5 = 25 \][/tex]
2. Rewrite the equation:
[tex]\[ x - 11 = 25 \][/tex]
3. Add 11 to both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 25 + 11 \][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 36 \][/tex]
### Equation 2: [tex]\( 11x + 6 = 8 \)[/tex]
1. Subtract 6 from both sides:
[tex]\[ 11x = 8 - 6 \][/tex]
2. Simplify the right-hand side:
[tex]\[ 8 - 6 = 2 \][/tex]
3. Rewrite the equation:
[tex]\[ 11x = 2 \][/tex]
4. Divide both sides by 11:
[tex]\[ x = \frac{2}{11} \][/tex]
5. Simplify the value of [tex]\( x \)[/tex]:
[tex]\[ x \approx 0.18181818181818182 \][/tex]
### Equation 3: [tex]\( x - 31 = 9 \)[/tex]
1. Add 31 to both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 9 + 31 \][/tex]
2. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 40 \][/tex]
### Equation 4: [tex]\( x \cdot 5 = 14 + 5 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 14 + 5 = 19 \][/tex]
2. Rewrite the equation:
[tex]\[ 5x = 19 \][/tex]
3. Divide both sides by 5:
[tex]\[ x = \frac{19}{5} \][/tex]
4. Simplify the value of [tex]\( x \)[/tex]:
[tex]\[ x = 3.8 \][/tex]
### Equation 5: [tex]\( x - 3 = 3 + 9 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 3 + 9 = 12 \][/tex]
2. Rewrite the equation:
[tex]\[ x - 3 = 12 \][/tex]
3. Add 3 to both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 12 + 3 \][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 15 \][/tex]
### Equation 6: [tex]\( 5 + x = 9 \)[/tex]
1. Subtract 5 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 9 - 5 \][/tex]
2. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 4 \][/tex]
### Equation 7: [tex]\( x + 19 = 33 + 25 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 33 + 25 = 58 \][/tex]
2. Rewrite the equation:
[tex]\[ x + 19 = 58 \][/tex]
3. Subtract 19 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 58 - 19 \][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 39 \][/tex]
### Summary
The solutions to each equation are:
1. [tex]\( x = 36 \)[/tex]
2. [tex]\( x = \frac{2}{11} \approx 0.18181818181818182 \)[/tex]
3. [tex]\( x = 40 \)[/tex]
4. [tex]\( x = 3.8 \)[/tex]
5. [tex]\( x = 15 \)[/tex]
6. [tex]\( x = 4 \)[/tex]
7. [tex]\( x = 39 \)[/tex]
### Equation 1: [tex]\( x - 11 = 20 + 5 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 20 + 5 = 25 \][/tex]
2. Rewrite the equation:
[tex]\[ x - 11 = 25 \][/tex]
3. Add 11 to both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 25 + 11 \][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 36 \][/tex]
### Equation 2: [tex]\( 11x + 6 = 8 \)[/tex]
1. Subtract 6 from both sides:
[tex]\[ 11x = 8 - 6 \][/tex]
2. Simplify the right-hand side:
[tex]\[ 8 - 6 = 2 \][/tex]
3. Rewrite the equation:
[tex]\[ 11x = 2 \][/tex]
4. Divide both sides by 11:
[tex]\[ x = \frac{2}{11} \][/tex]
5. Simplify the value of [tex]\( x \)[/tex]:
[tex]\[ x \approx 0.18181818181818182 \][/tex]
### Equation 3: [tex]\( x - 31 = 9 \)[/tex]
1. Add 31 to both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 9 + 31 \][/tex]
2. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 40 \][/tex]
### Equation 4: [tex]\( x \cdot 5 = 14 + 5 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 14 + 5 = 19 \][/tex]
2. Rewrite the equation:
[tex]\[ 5x = 19 \][/tex]
3. Divide both sides by 5:
[tex]\[ x = \frac{19}{5} \][/tex]
4. Simplify the value of [tex]\( x \)[/tex]:
[tex]\[ x = 3.8 \][/tex]
### Equation 5: [tex]\( x - 3 = 3 + 9 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 3 + 9 = 12 \][/tex]
2. Rewrite the equation:
[tex]\[ x - 3 = 12 \][/tex]
3. Add 3 to both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 12 + 3 \][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 15 \][/tex]
### Equation 6: [tex]\( 5 + x = 9 \)[/tex]
1. Subtract 5 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 9 - 5 \][/tex]
2. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 4 \][/tex]
### Equation 7: [tex]\( x + 19 = 33 + 25 \)[/tex]
1. Simplify the right-hand side:
[tex]\[ 33 + 25 = 58 \][/tex]
2. Rewrite the equation:
[tex]\[ x + 19 = 58 \][/tex]
3. Subtract 19 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 58 - 19 \][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 39 \][/tex]
### Summary
The solutions to each equation are:
1. [tex]\( x = 36 \)[/tex]
2. [tex]\( x = \frac{2}{11} \approx 0.18181818181818182 \)[/tex]
3. [tex]\( x = 40 \)[/tex]
4. [tex]\( x = 3.8 \)[/tex]
5. [tex]\( x = 15 \)[/tex]
6. [tex]\( x = 4 \)[/tex]
7. [tex]\( x = 39 \)[/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.
