the equation is 5/3x + 11/3 = -4/3

To solve the equation, we need to isolate the variable x.

Starting with the equation:

5/3x + 11/3 = -4/3

Subtract 11/3 from both sides of the equation:

5/3x = -4/3 - 11/3

Simplifying the right side of the equation:

5/3x = -15/3

Now, multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:

(3/5)(5/3x) = (3/5)(-15/3)

The 3's cancel out on the left side, and the negative signs multiply on the right side:

x = -9/5

Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -9/5.

To solve the equation 5/3x + 11/3 = -4/3, we can follow these steps:

Step 1: Subtract 11/3 from both sides of the equation:
(5/3x + 11/3) - 11/3 = (-4/3) - 11/3

Simplifying the left side of the equation:
5/3x = (-4/3) - 11/3
5/3x = -15/3

Step 2: Simplify the right side of the equation:
-4/3 - 11/3 = -15/3

Step 3: Divide both sides of the equation by 5/3 to isolate x:
(5/3x)/(5/3) = (-15/3)/(5/3)

Simplifying:
x = (-15/3)/(5/3)

Step 4: Divide the fractions:
x = (-15/3) * (3/5)

Simplifying:
x = -15/5

Step 5: Reduce the fraction:
x = -3

Thus, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.

To solve the equation 5/3x + 11/3 = -4/3, we need to isolate the variable x.

First, let's simplify the equation. To do this, we can start by getting rid of the fractions by multiplying every term in the equation by the least common denominator (LCD), which is 3 in this case.

Multiplying the equation by 3 yields:

3 * (5/3x) + 3 * (11/3) = 3 * (-4/3)

After simplifying, we get:

5x + 11 = -4

Next, we can isolate the variable x. To do this, we need to move the constant term (11) to the other side of the equation by subtracting it from both sides:

5x + 11 - 11 = -4 - 11

Simplifying further, we have:

5x = -15

Lastly, we can solve for x by dividing both sides of the equation by the coefficient of x, which is 5:

(1/5) * 5x = (-15) * (1/5)

The result is:

x = -3

So, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.

wrong

Apologies for the error. Let's solve the equation correctly.

The equation is:

5/3x + 11/3 = -4/3

Step 1: Subtract 11/3 from both sides of the equation:

5/3x = -4/3 - 11/3

Simplifying the equation:

5/3x = -15/3

Step 2: Simplify the right side of the equation:

-15/3 can be simplified as -5.

So we have:

5/3x = -5

Step 3: Multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:

3/5 * (5/3x) = 3/5 * (-5)

Simplifying:

(3/5) * (5/3) * x = -15/5

The 5's and 3's cancel out, leaving us with:

1x = -15/5

Multiplying -15/5 by 1 gives us:

x = -15/5

Simplifying the fraction:

x = -3

Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.

the equation is 0.24x - 0.74 = -1.1 is solved as follows. Supply the correct numbers to complete the solution.

To solve the equation 0.24x - 0.74 = -1.1, we can follow these steps:

Step 1: Add 0.74 to both sides of the equation:
0.24x - 0.74 + 0.74 = -1.1 + 0.74

Simplifying the left side of the equation:
0.24x = -1.1 + 0.74
0.24x = -0.36

Step 2: Divide both sides of the equation by 0.24 to isolate x:
(0.24x)/0.24 = (-0.36)/0.24

Simplifying:
x = (-0.36)/0.24

Step 3: Divide the numbers:
x = -1.5

Thus, the solution to the equation 0.24x - 0.74 = -1.1 is x = -1.5.

what is the solution of the equation -8x + 13 = -19?

To solve the equation -8x + 13 = -19, we can follow these steps:

Step 1: Subtract 13 from both sides of the equation:
-8x + 13 - 13 = -19 - 13

Simplifying the left side of the equation:
-8x = -19 - 13
-8x = -32

Step 2: Divide both sides of the equation by -8 to isolate x:
(-8x)/(-8) = (-32)/(-8)

Simplifying:
x = 4

Thus, the solution to the equation -8x + 13 = -19 is x = 4.

what is the solution of the equation 11 - 4x = -9

To solve the equation 11 - 4x = -9, we can follow these steps:

Step 1: Subtract 11 from both sides of the equation:
11 - 4x - 11 = -9 - 11

Simplifying the left side of the equation:
-4x = -20

Step 2: Divide both sides of the equation by -4 to isolate x:
(-4x)/(-4) = (-20)/(-4)

Simplifying:
x = 5

Thus, the solution to the equation 11 - 4x = -9 is x = 5.

what is the solution of the equation 2/5x + 4 = 1/5?

To solve the equation 2/5x + 4 = 1/5, we can follow these steps:

Step 1: Subtract 4 from both sides of the equation:
2/5x + 4 - 4 = 1/5 - 4

Simplifying the left side of the equation:
2/5x = 1/5 - 4

Step 2: Simplify the right side of the equation:
1/5 - 4 = -19/5

So we have:
2/5x = -19/5

Step 3: Multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)*(2/5x) = (5/2)*(-19/5)

Simplifying:
x = -19/2

Thus, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.

what is the solution of the equation 5/3 - 2x = 1/6?

To solve the equation 5/3 - 2x = 1/6, we can follow these steps:

Step 1: Subtract 5/3 from both sides of the equation:
5/3 - 2x - 5/3 = 1/6 - 5/3

Simplifying the left side of the equation:
-2x = 1/6 - 5/3

Step 2: Simplify the right side of the equation:
1/6 - 5/3 can be simplified as -14/6.

So we have:
-2x = -14/6

Step 3: Multiply both sides of the equation by the reciprocal of -2, which is -1/2:
(-1/2)*(-2x) = (-1/2)*(-14/6)

Simplifying:
x = 7/6

Thus, the solution to the equation 5/3 - 2x = 1/6 is x = 7/6.

Answer to whole quick check:
Q1. -3x = -12
x = 4
Q2. 10x = -25
x = -2.5
Q3. x = 2

Q4. 5/3x = -5
x = -3

Q5. 0.24x = -0.36
x = 1.5

There have a good day 👴🏻👴🏻

Answers to the second Quick check:

Q1. 4
Q2. 5
Q3. -19/2
Q4. 3/4
Q5. -30.6

All 100%

Have a good day 🥱🥱