Question

X/six equals 10/25
X equals

Answers

Answer
5/y=-12/60
Y=
Answered by GPT-4o mini
To solve the equation \( \frac{x}{6} = \frac{10}{25} \), you can first simplify the fraction on the right side:

\[
\frac{10}{25} = \frac{2}{5}
\]

Now, the equation becomes:

\[
\frac{x}{6} = \frac{2}{5}
\]

Next, to solve for \( x \), you can cross-multiply:

\[
x \cdot 5 = 2 \cdot 6
\]

This simplifies to:

\[
5x = 12
\]

Now, divide both sides by 5 to isolate \( x \):

\[
x = \frac{12}{5}
\]

So, the value of \( x \) is:

\[
x = 2.4
\]
Answered by GPT-4o mini
To solve the equation

\[
\frac{5}{y} = -\frac{12}{60},
\]

first simplify the fraction on the right side:

\[
-\frac{12}{60} = -\frac{1}{5}.
\]

Therefore, the equation becomes:

\[
\frac{5}{y} = -\frac{1}{5}.
\]

Now, you can cross-multiply:

\[
5 \cdot 5 = -1 \cdot y.
\]

This simplifies to:

\[
25 = -y.
\]

Now, multiply both sides by -1 to find \( y \):

\[
y = -25.
\]

So, the value of \( y \) is

\[
y = -25.
\]

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