Answer :
Sure, let's solve the equations step by step!
1. Solve the first equation:
[tex]\(1.2x = 6\)[/tex]
To solve for [tex]\(x\)[/tex], you need to isolate the variable. You can do this by dividing both sides of the equation by 1.2.
[tex]\[
x = \frac{6}{1.2}
\][/tex]
When you do the division, you find that:
[tex]\[
x = 5.0
\][/tex]
2. Solve the second equation:
[tex]\(\frac{2}{5}t = \frac{12}{25}\)[/tex]
To solve for [tex]\(t\)[/tex], you need to isolate the variable [tex]\(t\)[/tex]. You can do this by dividing both sides of the equation by [tex]\(\frac{2}{5}\)[/tex].
[tex]\[
t = \frac{\frac{12}{25}}{\frac{2}{5}}
\][/tex]
When you divide fractions, you multiply by the reciprocal of the divisor:
[tex]\[
t = \frac{12}{25} \times \frac{5}{2}
\][/tex]
Simplifying the multiplication:
[tex]\[
t = \frac{12 \times 5}{25 \times 2} = \frac{60}{50} = 1.2
\][/tex]
So the solutions for the equations are [tex]\(x = 5.0\)[/tex] and [tex]\(t = 1.2\)[/tex].
1. Solve the first equation:
[tex]\(1.2x = 6\)[/tex]
To solve for [tex]\(x\)[/tex], you need to isolate the variable. You can do this by dividing both sides of the equation by 1.2.
[tex]\[
x = \frac{6}{1.2}
\][/tex]
When you do the division, you find that:
[tex]\[
x = 5.0
\][/tex]
2. Solve the second equation:
[tex]\(\frac{2}{5}t = \frac{12}{25}\)[/tex]
To solve for [tex]\(t\)[/tex], you need to isolate the variable [tex]\(t\)[/tex]. You can do this by dividing both sides of the equation by [tex]\(\frac{2}{5}\)[/tex].
[tex]\[
t = \frac{\frac{12}{25}}{\frac{2}{5}}
\][/tex]
When you divide fractions, you multiply by the reciprocal of the divisor:
[tex]\[
t = \frac{12}{25} \times \frac{5}{2}
\][/tex]
Simplifying the multiplication:
[tex]\[
t = \frac{12 \times 5}{25 \times 2} = \frac{60}{50} = 1.2
\][/tex]
So the solutions for the equations are [tex]\(x = 5.0\)[/tex] and [tex]\(t = 1.2\)[/tex].