Answer :
To solve for [tex]\( x \)[/tex], we need to find an equation where solving for [tex]\( x \)[/tex] yields a clear result. Let’s look at each equation given:
1. [tex]\( 5x + 3 = 66 \)[/tex]
2. [tex]\( 8x^{13} = 66 \)[/tex]
3. [tex]\( 12x = 66 \)[/tex]
4. [tex]\( 9x + 3 = 66 \)[/tex]
We'll determine the correct equation to use to solve for [tex]\( x \)[/tex].
1. Equation 1: [tex]\( 5x + 3 = 66 \)[/tex]
- Subtract 3 from both sides:
[tex]\[ 5x = 66 - 3 \][/tex]
[tex]\[ 5x = 63 \][/tex]
- Divide both sides by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{63}{5} \][/tex]
2. Equation 2: [tex]\( 8x^{13} = 66 \)[/tex]
- Solving this for [tex]\( x \)[/tex] would be very complex due to the high power of 13, and [tex]\( x \)[/tex] needs to be a simple value.
3. Equation 3: [tex]\( 12x = 66 \)[/tex]
- Divide both sides by 12 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{66}{12} \][/tex]
- Simplifying:
[tex]\[ x = \frac{11}{2} \][/tex]
4. Equation 4: [tex]\( 9x + 3 = 66 \)[/tex]
- Subtract 3 from both sides:
[tex]\[ 9x = 66 - 3 \][/tex]
[tex]\[ 9x = 63 \][/tex]
- Divide both sides by 9 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = 7 \][/tex]
The correct solution to the equation, where the simplest [tex]\( x \)[/tex] value could be found, is from the first equation: [tex]\( 5x + 3 = 66 \)[/tex].
Therefore, solving this gives us:
[tex]\[ x = \frac{63}{5} \][/tex]
1. [tex]\( 5x + 3 = 66 \)[/tex]
2. [tex]\( 8x^{13} = 66 \)[/tex]
3. [tex]\( 12x = 66 \)[/tex]
4. [tex]\( 9x + 3 = 66 \)[/tex]
We'll determine the correct equation to use to solve for [tex]\( x \)[/tex].
1. Equation 1: [tex]\( 5x + 3 = 66 \)[/tex]
- Subtract 3 from both sides:
[tex]\[ 5x = 66 - 3 \][/tex]
[tex]\[ 5x = 63 \][/tex]
- Divide both sides by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{63}{5} \][/tex]
2. Equation 2: [tex]\( 8x^{13} = 66 \)[/tex]
- Solving this for [tex]\( x \)[/tex] would be very complex due to the high power of 13, and [tex]\( x \)[/tex] needs to be a simple value.
3. Equation 3: [tex]\( 12x = 66 \)[/tex]
- Divide both sides by 12 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{66}{12} \][/tex]
- Simplifying:
[tex]\[ x = \frac{11}{2} \][/tex]
4. Equation 4: [tex]\( 9x + 3 = 66 \)[/tex]
- Subtract 3 from both sides:
[tex]\[ 9x = 66 - 3 \][/tex]
[tex]\[ 9x = 63 \][/tex]
- Divide both sides by 9 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = 7 \][/tex]
The correct solution to the equation, where the simplest [tex]\( x \)[/tex] value could be found, is from the first equation: [tex]\( 5x + 3 = 66 \)[/tex].
Therefore, solving this gives us:
[tex]\[ x = \frac{63}{5} \][/tex]
