Is 4x – 3 = 19 true, false, or open? (1 point) Responses true true false false open
True
Which of the following is a solution to the equation 16 = 4x – 4? (1 point) Responses –5 –5 –4 –4 5 5 16
The solution to the equation 16 = 4x - 4 is x = 5.
Let's solve the equation 4x - 3 = 19 step by step:
Step 1: Add 3 to both sides of the equation to isolate the variable term:
4x - 3 + 3 = 19 + 3
4x = 22
Step 2: Divide both sides of the equation by 4 to solve for x:
4x/4 = 22/4
x = 5.5
Step 3: Substitute the value of x back into the original equation to check if it is true:
4(5.5) - 3 = 22 - 3
22 - 3 = 19
19 = 19
Since both sides of the equation are equal, the statement 4x - 3 = 19 is true.
To determine whether the equation 4x - 3 = 19 is true, false, or open, we need to solve for x and check if the equation holds true.
To solve the equation:
1. Start by isolating the term with x on one side of the equation. In this case, we can add 3 to both sides of the equation:
4x - 3 + 3 = 19 + 3
4x = 22
2. Next, we need to isolate x by dividing both sides of the equation by 4:
4x / 4 = 22 / 4
x = 5.5
Now that we have found the value of x, we can substitute it back into the original equation to check if it is true:
4(5.5) - 3 = 19
22 - 3 = 19
19 = 19
Since both sides of the equation are equal, the equation 4x - 3 = 19 is true. Therefore, the response is "true".