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The equation −3x−9=−21

is solved as follows. Supply the correct numbers to complete the solution.(1 point)
−3x−9=−21
−3x=

Add 9 to both sides.
x=

Divide both sides by −3
.

9 answers

Let's solve the equation step by step.

Starting with the equation: \[ -3x - 9 = -21 \]

Step 1: Add 9 to both sides. \[ -3x = -21 + 9 \] Calculating the right side: \[ -3x = -12 \]

Step 2: Divide both sides by -3. \[ x = \frac{-12}{-3} \] Calculating the right side: \[ x = 4 \]

So, the solution steps can be filled in as follows:

  1. \(-3x = -12\)
  2. \(x = 4\)

Final solution:

  • After adding 9 to both sides, we find \(-3x = -12\).
  • After dividing both sides by -3, we find \(x = 4\).
The equation 10x+13=−12
is solved as follows. Supply the correct numbers to complete the solution.(1 point)
10x+13=−12
10x=

Subtract 13 from both sides.
x=

Divide both sides by 10.

Let's solve the equation step by step.

Starting with the equation: \[ 10x + 13 = -12 \]

Step 1: Subtract 13 from both sides. \[ 10x = -12 - 13 \] Calculating the right side: \[ 10x = -25 \]

Step 2: Divide both sides by 10. \[ x = \frac{-25}{10} \] This simplifies to: \[ x = -2.5 \]

So, the solution steps can be filled in as follows:

  1. \(10x = -25\)
  2. \(x = -2.5\)

Final solution:

  • After subtracting 13 from both sides, we find \(10x = -25\).
  • After dividing both sides by 10, we find \(x = -2.5\).
Solve 5−6x=−7
.(1 point)
x=

To solve the equation \(5 - 6x = -7\), follow these steps:

Step 1: Subtract 5 from both sides. \[ -6x = -7 - 5 \] Simplifying the right side: \[ -6x = -12 \]

Step 2: Divide both sides by -6. \[ x = \frac{-12}{-6} \] This simplifies to: \[ x = 2 \]

Thus, the solution is: \[ x = 2 \]

The equation 5/3 x+11/3=−4/3
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
5/3 x+11/3=−4/3
5/3 x=

Subtract 11/3
from both sides.
x=

Multiply both sides by 3/5
, the reciprocal of 5/3
.

Let's solve the equation step by step.

Starting with the equation: \[ \frac{5}{3} x + \frac{11}{3} = -\frac{4}{3} \]

Step 1: Subtract \(\frac{11}{3}\) from both sides. \[ \frac{5}{3} x = -\frac{4}{3} - \frac{11}{3} \] Calculating the right side: \[ \frac{5}{3} x = -\frac{4 + 11}{3} = -\frac{15}{3} = -5 \]

Step 2: Now we have: \[ \frac{5}{3} x = -5 \]

Step 3: Multiply both sides by \(\frac{3}{5}\), the reciprocal of \(\frac{5}{3}\). \[ x = -5 \cdot \frac{3}{5} \] This simplifies to: \[ x = -3 \]

So, to fill in the correct numbers:

  1. \(\frac{5}{3} x = -5\)
  2. \(x = -3\)

Final solution:

  • After subtracting \(\frac{11}{3}\) from both sides, we find \(\frac{5}{3} x = -5\).
  • After multiplying both sides by \(\frac{3}{5}\), we find \(x = -3\).
The equation 0.24x−0.74=−1.1
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
0.24x−0.74=−1.1
0.24x=

Add 0.74 to both sides.
x=

Divide both sides by 0.24

Let's solve the equation step by step.

Starting with the equation: \[ 0.24x - 0.74 = -1.1 \]

Step 1: Add \(0.74\) to both sides. \[ 0.24x = -1.1 + 0.74 \] Calculating the right side: \[ 0.24x = -1.1 + 0.74 = -0.36 \]

Step 2: Now we have: \[ 0.24x = -0.36 \]

Step 3: Divide both sides by \(0.24\). \[ x = \frac{-0.36}{0.24} \] Calculating the right side gives: \[ x = -1.5 \]

So to fill in the correct numbers:

  1. \(0.24x = -0.36\)
  2. \(x = -1.5\)

Final solution:

  • After adding \(0.74\) to both sides, we find \(0.24x = -0.36\).
  • After dividing both sides by \(0.24\), we find \(x = -1.5\).