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Solve the following equations and match each with its appropriate solution:

[tex]
\begin{array}{c}
6.3n = 8.19 \\
p + 8 = 14.1 \\
\frac{x}{1.2} = 7 \\
m - 21.1 = 36.6
\end{array}
[/tex]

Answer :

Let's solve each of the equations step-by-step:

1. Equation 1: [tex]\(6.3n = 8.19\)[/tex]

To find [tex]\(n\)[/tex], we need to isolate it. We can do this by dividing both sides of the equation by 6.3:

[tex]\[
n = \frac{8.19}{6.3}
\][/tex]

When you perform the division, you get:

[tex]\[
n = 1.3
\][/tex]

2. Equation 2: [tex]\(p + 8 = 14.1\)[/tex]

To solve for [tex]\(p\)[/tex], we'll subtract 8 from both sides of the equation:

[tex]\[
p = 14.1 - 8
\][/tex]

Simplifying gives:

[tex]\[
p = 6.1
\][/tex]

3. Equation 3: [tex]\(\frac{x}{1.2} = 7\)[/tex]

To solve for [tex]\(x\)[/tex], multiply both sides by 1.2:

[tex]\[
x = 7 \times 1.2
\][/tex]

After calculating, we find:

[tex]\[
x = 8.4
\][/tex]

4. Equation 4: [tex]\(m - 21.1 = 36.6\)[/tex]

To solve for [tex]\(m\)[/tex], add 21.1 to both sides of the equation:

[tex]\[
m = 36.6 + 21.1
\][/tex]

Simplifying gives:

[tex]\[
m = 57.7
\][/tex]

So, the solutions to the equations are:
- [tex]\( n = 1.3 \)[/tex]
- [tex]\( p = 6.1 \)[/tex]
- [tex]\( x = 8.4 \)[/tex]
- [tex]\( m = 57.7 \)[/tex]

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Rewritten by : Jeany

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