Is 4x – 3 = 19 true, false, or open?

The equation 4x – 3 = 19 is true.

Which of the following is a solution to the equation 16 = 4x – 4?

To find the solution to the equation 16 = 4x – 4, we can solve for x.

16 = 4x – 4
Add 4 to both sides:
16 + 4 = 4x
20 = 4x
Divide both sides by 4:
20/4 = x
x = 5

Therefore, x = 5 is the solution to the equation 16 = 4x – 4.

An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student’s model is 42 in. What should the width of the model be?

Let's assume the width of the classroom is w inches.

According to the given information, the length of the classroom is 2.4 times the width, so the length can be expressed as 2.4w inches.

We also know that the length of the student's model is 42 inches.

Since the length of the model represents the length of the classroom, we can set up the equation:

2.4w = 42

To find the width of the model, we need to solve for w.

Dividing both sides of the equation by 2.4:

w = 42 / 2.4
w ≈ 17.5

Therefore, the width of the model should be approximately 17.5 inches.

To find out if the equation 4x - 3 = 19 is true, false, or open, we need to solve it for x.

Step 1: Add 3 to both sides of the equation.
4x - 3 + 3 = 19 + 3
4x = 22

Step 2: Divide both sides of the equation by 4.
(4x)/4 = 22/4
x = 5.5

So, the solution to the equation 4x - 3 = 19 is x = 5.5. Therefore, the equation is true.

To determine whether the equation 4x - 3 = 19 is true, false, or open, we can solve the equation for x and check the result.

To solve the equation, we need to isolate the variable x. Let's go step by step:

1. Start with the equation: 4x - 3 = 19.
2. Add 3 to both sides of the equation to move the constant term to the other side: 4x = 19 + 3.
This simplifies to: 4x = 22.
3. Divide both sides of the equation by 4 to solve for x: x = 22/4.
This simplifies to: x = 5.5.

Now, let's check the value of x in the original equation: 4(5.5) - 3 = 19.

4(5.5) = 22 - 3 = 19.

So, the equation is true, and x is equal to 5.5.

Therefore, the answer is: true.