High School

1. Calculate the sum and difference:

[tex]
\[
\begin{align*}
90 + 51 &= 141, \\
180 - 141 &= 39.
\end{align*}
\]
[/tex]

2. Solve the equation for [tex]x[/tex]:

[tex]
\[
\begin{align*}
2x - 2 &= 141, \\
2x &= 143.
\end{align*}
\]
[/tex]

Answer :

Sure! Let's walk through solving this step-by-step:

1. Addition Problem:
- We start by adding 90 and 51:
[tex]\[
90 + 51 = 141
\][/tex]
- The result of this addition is 141.

2. Subtraction Problem:
- Next, we subtract 141 from 180:
[tex]\[
180 - 141 = 39
\][/tex]
- The result of this subtraction is 39.

3. Solving the Equation [tex]\(2x - 2 = 141\)[/tex]:
- First, we need to add 2 to both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
2x - 2 + 2 = 141 + 2
\][/tex]
[tex]\[
2x = 143
\][/tex]
- Now, to solve for [tex]\(x\)[/tex], divide both sides by 2:
[tex]\[
x = \frac{143}{2} = 71.5
\][/tex]

To summarize, the results of the calculations are:
- For the addition, [tex]\(90 + 51\)[/tex], the result is 141.
- For the subtraction, [tex]\(180 - 141\)[/tex], the result is 39.
- Solving the equation [tex]\(2x - 2 = 141\)[/tex] gives [tex]\(x = 71.5\)[/tex].