At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Let's solve each equation step by step.
### Equation 1: [tex]\( 5x + 4 = 49 \)[/tex]
1. Subtract 4 from both sides:
[tex]\[ 5x + 4 - 4 = 49 - 4 \][/tex]
[tex]\[ 5x = 45 \][/tex]
2. Divide both sides by 5:
[tex]\[ \frac{5x}{5} = \frac{45}{5} \][/tex]
[tex]\[ x = 9 \][/tex]
### Equation 2: [tex]\( 3x + 1 = 31 \)[/tex]
1. Subtract 1 from both sides:
[tex]\[ 3x + 1 - 1 = 31 - 1 \][/tex]
[tex]\[ 3x = 30 \][/tex]
2. Divide both sides by 3:
[tex]\[ \frac{3x}{3} = \frac{30}{3} \][/tex]
[tex]\[ x = 10 \][/tex]
### Equation 3: [tex]\( 7x + 1 = 36 \)[/tex]
1. Subtract 1 from both sides:
[tex]\[ 7x + 1 - 1 = 36 - 1 \][/tex]
[tex]\[ 7x = 35 \][/tex]
2. Divide both sides by 7:
[tex]\[ \frac{7x}{7} = \frac{35}{7} \][/tex]
[tex]\[ x = 5 \][/tex]
### Equation 4: [tex]\( 9x + 1 = 91 \)[/tex]
1. Subtract 1 from both sides:
[tex]\[ 9x + 1 - 1 = 91 - 1 \][/tex]
[tex]\[ 9x = 90 \][/tex]
2. Divide both sides by 9:
[tex]\[ \frac{9x}{9} = \frac{90}{9} \][/tex]
[tex]\[ x = 10 \][/tex]
### Equation 5: [tex]\( 2x + 9 = 13 \)[/tex]
1. Subtract 9 from both sides:
[tex]\[ 2x + 9 - 9 = 13 - 9 \][/tex]
[tex]\[ 2x = 4 \][/tex]
2. Divide both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{4}{2} \][/tex]
[tex]\[ x = 2 \][/tex]
### Equation 6: [tex]\( 8x + 8 = 64 \)[/tex]
1. Subtract 8 from both sides:
[tex]\[ 8x + 8 - 8 = 64 - 8 \][/tex]
[tex]\[ 8x = 56 \][/tex]
2. Divide both sides by 8:
[tex]\[ \frac{8x}{8} = \frac{56}{8} \][/tex]
[tex]\[ x = 7 \][/tex]
### Equation 7: [tex]\( 3x + 9 = 30 \)[/tex]
1. Subtract 9 from both sides:
[tex]\[ 3x + 9 - 9 = 30 - 9 \][/tex]
[tex]\[ 3x = 21 \][/tex]
2. Divide both sides by 3:
[tex]\[ \frac{3x}{3} = \frac{21}{3} \][/tex]
[tex]\[ x = 7 \][/tex]
### Equation 8: [tex]\( 1x + 3 = 8 \)[/tex]
1. Subtract 3 from both sides:
[tex]\[ 1x + 3 - 3 = 8 - 3 \][/tex]
[tex]\[ x = 5 \][/tex]
### Equation 9: [tex]\( 4x + 2 = 26 \)[/tex]
1. Subtract 2 from both sides:
[tex]\[ 4x + 2 - 2 = 26 - 2 \][/tex]
[tex]\[ 4x = 24 \][/tex]
2. Divide both sides by 4:
[tex]\[ \frac{4x}{4} = \frac{24}{4} \][/tex]
[tex]\[ x = 6 \][/tex]
### Summary of Solutions:
- For [tex]\( 5x + 4 = 49 \)[/tex], [tex]\( x = 9 \)[/tex]
- For [tex]\( 3x + 1 = 31 \)[/tex], [tex]\( x = 10 \)[/tex]
- For [tex]\( 7x + 1 = 36 \)[/tex], [tex]\( x = 5 \)[/tex]
- For [tex]\( 9x + 1 = 91 \)[/tex], [tex]\( x = 10 \)[/tex]
- For [tex]\( 2x + 9 = 13 \)[/tex], [tex]\( x = 2 \)[/tex]
- For [tex]\( 8x + 8 = 64 \)[/tex], [tex]\( x = 7 \)[/tex]
- For [tex]\( 3x + 9 = 30 \)[/tex], [tex]\( x = 7 \)[/tex]
- For [tex]\( 1x + 3 = 8 \)[/tex], [tex]\( x = 5 \)[/tex]
- For [tex]\( 4x + 2 = 26 \)[/tex], [tex]\( x = 6 \)[/tex]
Thus, the list of solutions is:
[tex]\[ [9.0, 10.0, 5.0, 10.0, 2.0, 7.0, 7.0, 5.0, 6.0] \][/tex]
### Equation 1: [tex]\( 5x + 4 = 49 \)[/tex]
1. Subtract 4 from both sides:
[tex]\[ 5x + 4 - 4 = 49 - 4 \][/tex]
[tex]\[ 5x = 45 \][/tex]
2. Divide both sides by 5:
[tex]\[ \frac{5x}{5} = \frac{45}{5} \][/tex]
[tex]\[ x = 9 \][/tex]
### Equation 2: [tex]\( 3x + 1 = 31 \)[/tex]
1. Subtract 1 from both sides:
[tex]\[ 3x + 1 - 1 = 31 - 1 \][/tex]
[tex]\[ 3x = 30 \][/tex]
2. Divide both sides by 3:
[tex]\[ \frac{3x}{3} = \frac{30}{3} \][/tex]
[tex]\[ x = 10 \][/tex]
### Equation 3: [tex]\( 7x + 1 = 36 \)[/tex]
1. Subtract 1 from both sides:
[tex]\[ 7x + 1 - 1 = 36 - 1 \][/tex]
[tex]\[ 7x = 35 \][/tex]
2. Divide both sides by 7:
[tex]\[ \frac{7x}{7} = \frac{35}{7} \][/tex]
[tex]\[ x = 5 \][/tex]
### Equation 4: [tex]\( 9x + 1 = 91 \)[/tex]
1. Subtract 1 from both sides:
[tex]\[ 9x + 1 - 1 = 91 - 1 \][/tex]
[tex]\[ 9x = 90 \][/tex]
2. Divide both sides by 9:
[tex]\[ \frac{9x}{9} = \frac{90}{9} \][/tex]
[tex]\[ x = 10 \][/tex]
### Equation 5: [tex]\( 2x + 9 = 13 \)[/tex]
1. Subtract 9 from both sides:
[tex]\[ 2x + 9 - 9 = 13 - 9 \][/tex]
[tex]\[ 2x = 4 \][/tex]
2. Divide both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{4}{2} \][/tex]
[tex]\[ x = 2 \][/tex]
### Equation 6: [tex]\( 8x + 8 = 64 \)[/tex]
1. Subtract 8 from both sides:
[tex]\[ 8x + 8 - 8 = 64 - 8 \][/tex]
[tex]\[ 8x = 56 \][/tex]
2. Divide both sides by 8:
[tex]\[ \frac{8x}{8} = \frac{56}{8} \][/tex]
[tex]\[ x = 7 \][/tex]
### Equation 7: [tex]\( 3x + 9 = 30 \)[/tex]
1. Subtract 9 from both sides:
[tex]\[ 3x + 9 - 9 = 30 - 9 \][/tex]
[tex]\[ 3x = 21 \][/tex]
2. Divide both sides by 3:
[tex]\[ \frac{3x}{3} = \frac{21}{3} \][/tex]
[tex]\[ x = 7 \][/tex]
### Equation 8: [tex]\( 1x + 3 = 8 \)[/tex]
1. Subtract 3 from both sides:
[tex]\[ 1x + 3 - 3 = 8 - 3 \][/tex]
[tex]\[ x = 5 \][/tex]
### Equation 9: [tex]\( 4x + 2 = 26 \)[/tex]
1. Subtract 2 from both sides:
[tex]\[ 4x + 2 - 2 = 26 - 2 \][/tex]
[tex]\[ 4x = 24 \][/tex]
2. Divide both sides by 4:
[tex]\[ \frac{4x}{4} = \frac{24}{4} \][/tex]
[tex]\[ x = 6 \][/tex]
### Summary of Solutions:
- For [tex]\( 5x + 4 = 49 \)[/tex], [tex]\( x = 9 \)[/tex]
- For [tex]\( 3x + 1 = 31 \)[/tex], [tex]\( x = 10 \)[/tex]
- For [tex]\( 7x + 1 = 36 \)[/tex], [tex]\( x = 5 \)[/tex]
- For [tex]\( 9x + 1 = 91 \)[/tex], [tex]\( x = 10 \)[/tex]
- For [tex]\( 2x + 9 = 13 \)[/tex], [tex]\( x = 2 \)[/tex]
- For [tex]\( 8x + 8 = 64 \)[/tex], [tex]\( x = 7 \)[/tex]
- For [tex]\( 3x + 9 = 30 \)[/tex], [tex]\( x = 7 \)[/tex]
- For [tex]\( 1x + 3 = 8 \)[/tex], [tex]\( x = 5 \)[/tex]
- For [tex]\( 4x + 2 = 26 \)[/tex], [tex]\( x = 6 \)[/tex]
Thus, the list of solutions is:
[tex]\[ [9.0, 10.0, 5.0, 10.0, 2.0, 7.0, 7.0, 5.0, 6.0] \][/tex]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
