The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution. 5/3x+11/3=−4/3 5/3x= Subtract 11/3 from both sides. x= Multiply both sides by 3/5, the reciprocal of 5/3.

Question

Illustrate an appealing visual representation of an algebraic problem-solving process. The image should depict the following: Two equations appearing in steps, both without their solution values. The first equation has variables, while the second one has space for the solution. The steps for solving the equation should be represented symbolically. They include the subtraction of a value from both sides and multiplication of each side by a specific reciprocal. The image must have no text.

The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution. 5/3x+11/3=−4/3 5/3x= Subtract 11/3 from both sides. x= Multiply both sides by 3/5, the reciprocal of 5/3.

Answer 1

To solve the equation, we need to subtract the term 11/3 from both sides:

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

This simplifies to:

5/3x = -15/3

Next, to isolate x, we need to multiply both sides by the reciprocal of 5/3, which is 3/5:

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

The left side simplifies to:

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

The right side simplifies to:

(3/5) * (-15/3) = -45/15 = -3

So the complete solution is:

x = -3

Answer 2

To solve the equation 5/3x + 11/3 = -4/3, the first step is to isolate the term with x by eliminating the constant term on the right side of the equation.

The equation is currently: 5/3x + 11/3 = -4/3

To eliminate 11/3 from both sides, we need to subtract 11/3 from both sides. This step can be written as:

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

Simplifying further, we have:

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

Now, we can combine the terms on the right side:

5/3x = -15/3

Next, to isolate x we need to get rid of the coefficient 5/3. To eliminate this coefficient, we can multiply both sides of the equation by its reciprocal, 3/5.

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

Simplifying further, we have:

15/15x = -45/15

Since the denominators on both sides of the equation are the same, we can cancel them out:

1x = -3

Finally, we can simplify the equation:

x = -3

So the value of x that satisfies the equation 5/3x + 11/3 = -4/3 is x = -3.

Answer 3

To solve the equation 5/3x + 11/3 = -4/3, we start by isolating the term with x.

First, we subtract 11/3 from both sides of the equation:

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

Which simplifies to:

5/3x = -15/3

Next, we simplify both sides of the equation by multiplying by the reciprocal of 5/3, which is 3/5:

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

This gives us:

(15/15)x = -45/15

Simplifying further:

x = -45/15

Lastly, we can simplify the fraction -45/15 by dividing both the numerator and denominator by their greatest common divisor, which is 15:

x = -3/1

Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3/1 or simply x = -3.