Answer :
To solve the problem of determining which equation can be used to find the value of [tex]\(x\)[/tex], let's examine each of the given equations one by one:
1. Equation: [tex]\(2x + 94 = 90\)[/tex]
- Rearrange the equation to solve for [tex]\(x\)[/tex]:
[tex]\[
2x = 90 - 94
\][/tex]
[tex]\[
2x = -4
\][/tex]
Divide by 2:
[tex]\[
x = \frac{-4}{2} = -2
\][/tex]
This equation can be solved for [tex]\(x\)[/tex], and the solution is [tex]\(x = -2\)[/tex].
2. Equation: [tex]\(10x = 86\)[/tex]
- Rearrange to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{86}{10} = 8.6
\][/tex]
This equation can be solved for [tex]\(x\)[/tex], and the solution is [tex]\(x = 8.6\)[/tex].
3. Equation: [tex]\(2x + 8 = 86\)[/tex]
- Rearrange the equation to solve for [tex]\(x\)[/tex]:
[tex]\[
2x = 86 - 8
\][/tex]
[tex]\[
2x = 78
\][/tex]
Divide by 2:
[tex]\[
x = \frac{78}{2} = 39
\][/tex]
This equation can be solved for [tex]\(x\)[/tex], and the solution is [tex]\(x = 39\)[/tex].
4. Equation: [tex]\(2x + 94\)[/tex]
- This is not a complete equation since it does not contain an equals sign or a specific value, so it cannot be used to solve for [tex]\(x\)[/tex].
Based on the analysis, the first three equations can be solved for [tex]\(x\)[/tex], yielding solutions of [tex]\(x = -2\)[/tex], [tex]\(x = 8.6\)[/tex], and [tex]\(x = 39\)[/tex] respectively. The fourth option is not a valid equation.
1. Equation: [tex]\(2x + 94 = 90\)[/tex]
- Rearrange the equation to solve for [tex]\(x\)[/tex]:
[tex]\[
2x = 90 - 94
\][/tex]
[tex]\[
2x = -4
\][/tex]
Divide by 2:
[tex]\[
x = \frac{-4}{2} = -2
\][/tex]
This equation can be solved for [tex]\(x\)[/tex], and the solution is [tex]\(x = -2\)[/tex].
2. Equation: [tex]\(10x = 86\)[/tex]
- Rearrange to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{86}{10} = 8.6
\][/tex]
This equation can be solved for [tex]\(x\)[/tex], and the solution is [tex]\(x = 8.6\)[/tex].
3. Equation: [tex]\(2x + 8 = 86\)[/tex]
- Rearrange the equation to solve for [tex]\(x\)[/tex]:
[tex]\[
2x = 86 - 8
\][/tex]
[tex]\[
2x = 78
\][/tex]
Divide by 2:
[tex]\[
x = \frac{78}{2} = 39
\][/tex]
This equation can be solved for [tex]\(x\)[/tex], and the solution is [tex]\(x = 39\)[/tex].
4. Equation: [tex]\(2x + 94\)[/tex]
- This is not a complete equation since it does not contain an equals sign or a specific value, so it cannot be used to solve for [tex]\(x\)[/tex].
Based on the analysis, the first three equations can be solved for [tex]\(x\)[/tex], yielding solutions of [tex]\(x = -2\)[/tex], [tex]\(x = 8.6\)[/tex], and [tex]\(x = 39\)[/tex] respectively. The fourth option is not a valid equation.
