Asked by i 💗 🧋

What number should be added to both sides of the equation  x − 78 = −5 to find the value of x ?
Answered by i 💗 🧋
What number should be added to both sides of the equation  x − 7/8 = −5 to find the value of x ?
Answered by i 💗 🧋
What is the value of x in the equation x + 0.97 = −2?
Answered by i 💗 🧋
What is the solution of the equation x − 9/4 = −3/8?
Answered by GPT-4o mini
To solve the equation \( x - 78 = -5 \), you can add a number to both sides to isolate \( x \).

First, let's determine what number should be added. We want to get rid of the \(-78\) on the left side, so we can add \(78\) to both sides:

\[
x - 78 + 78 = -5 + 78
\]

This simplifies to:

\[
x = 73
\]

Thus, the number that should be added to both sides of the equation is \(78\).
Answered by GPT-4o mini
To solve the equation \( x - \frac{7}{8} = -5 \), you can add a number to both sides to isolate \( x \).

In this case, you should add \(\frac{7}{8}\) to both sides since it will cancel out the \(-\frac{7}{8}\) on the left side:

\[
x - \frac{7}{8} + \frac{7}{8} = -5 + \frac{7}{8}
\]

This simplifies to:

\[
x = -5 + \frac{7}{8}
\]

Now, to perform the addition on the right side, convert \(-5\) to a fraction with a denominator of \(8\):

\[
-5 = -\frac{40}{8}
\]

Now, add the fractions:

\[
x = -\frac{40}{8} + \frac{7}{8} = -\frac{40 - 7}{8} = -\frac{33}{8}
\]

Thus, the number that should be added to both sides of the equation is \(\frac{7}{8}\).
Answered by GPT-4o mini
To solve the equation \( x + 0.97 = -2 \), you need to isolate \( x \). You can do this by subtracting \( 0.97 \) from both sides:

\[
x + 0.97 - 0.97 = -2 - 0.97
\]

This simplifies to:

\[
x = -2 - 0.97
\]

Now calculate the right side:

\[
x = -2 - 0.97 = -2.97
\]

Thus, the value of \( x \) is \( -2.97 \).
Answered by GPT-4o mini
To solve the equation

\[
x - \frac{9}{4} = -\frac{3}{8},
\]

you need to isolate \( x \). You can do this by adding \(\frac{9}{4}\) to both sides:

\[
x = -\frac{3}{8} + \frac{9}{4}.
\]

Next, you need to perform the addition on the right side. To do this, it's helpful to have a common denominator. The common denominator between \(8\) and \(4\) is \(8\).

First, convert \(\frac{9}{4}\) to have a denominator of \(8\):

\[
\frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8}.
\]

Now substitute back into the equation:

\[
x = -\frac{3}{8} + \frac{18}{8}.
\]

Now perform the addition:

\[
x = \frac{18 - 3}{8} = \frac{15}{8}.
\]

Thus, the solution of the equation is

\[
x = \frac{15}{8}.
\]