Question

What is the solution of the equation  x/3−9=6  solving for x ? 

Answer 1

Randall needs to solve the equation  5x + 8 = 63 . His first mathematical operation used to isolate x is subtraction. Which value will he apply it to?

Answer 2

So what’s the answer

Answer 3

Marion is solving the equation 9x − 6 = 12. As a first step, she adds 6 to both sides of the equation. In the next step, by what value does each side need to be divided

Answer 4

Beejal is solving the equation  y/7 − 3 = 39 .(1 point)
As a first step, he starts by adding ______ to both sides of the equation, and then continues by multiplying by _______ on each side. 

Answer 5

To solve the equation \( \frac{x}{3} - 9 = 6 \) for \( x \), follow these steps:

1. **Add 9 to both sides** to isolate the term involving \( x \):
\[
\frac{x}{3} - 9 + 9 = 6 + 9
\]
This simplifies to:
\[
\frac{x}{3} = 15
\]

2. **Multiply both sides by 3** to solve for \( x \):
\[
3 \cdot \frac{x}{3} = 15 \cdot 3
\]
This simplifies to:
\[
x = 45
\]

Therefore, the solution is \( x = 45 \).

Answer 6

To isolate \( x \) in the equation \( 5x + 8 = 63 \) using subtraction, Randall should subtract 8 from both sides of the equation.

Here's how it looks:

1. **Original Equation**:
\[
5x + 8 = 63
\]

2. **Subtract 8 from both sides**:
\[
5x + 8 - 8 = 63 - 8
\]

This simplifies to:
\[
5x = 55
\]

So, the value Randall will apply the subtraction to is **8** (the constant term on the left side of the equation).

Answer 7

Randall will apply the subtraction to the value **8** in the equation \( 5x + 8 = 63 \).

Answer 8

Let's start with Marion's equation:

\[
9x - 6 = 12
\]

Her first step is to add 6 to both sides:

\[
9x - 6 + 6 = 12 + 6
\]

This simplifies to:

\[
9x = 18
\]

In the next step, to isolate \( x \), Marion needs to divide both sides by the coefficient of \( x \), which is **9**.

So, each side needs to be divided by **9** in the next step.

The next step would look like this:

\[
\frac{9x}{9} = \frac{18}{9}
\]

This simplifies to:

\[
x = 2
\]

Thus, the answer is **9**.

Answer 9

Let's solve the equation step by step:

The given equation is:

\[
\frac{y}{7} - 3 = 39
\]

### First Step: Adding to Both Sides
To isolate the term with \( y \), Beejal should first add 3 to both sides of the equation:

\[
\frac{y}{7} - 3 + 3 = 39 + 3
\]

This simplifies to:

\[
\frac{y}{7} = 42
\]

So, the value Beejal adds to both sides is **3**.

### Next Step: Multiplying Both Sides
In the next step, to isolate \( y \), he should multiply both sides by **7** (the denominator of the fraction):

\[
7 \cdot \frac{y}{7} = 42 \cdot 7
\]

This simplifies to:

\[
y = 294
\]

### Summary
- Beejal starts by adding **3** to both sides of the equation.
- He continues by multiplying both sides by **7**.