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.
To solve the equation 0.24x - 0.74 = -1.1, follow these steps:
Step 1: Add 0.74 to both sides:
0.24x - 0.74 + 0.74 = -1.1 + 0.74
This simplifies to:
0.24x = -0.36
Step 2: Divide both sides by 0.24:
(0.24x) / 0.24 = (-0.36) / 0.24
This simplifies to:
x = -1.5
Thus, the solution to the equation 0.24x - 0.74 = -1.1 is x = -1.5.
To solve the equation 0.24x - 0.74 = -1.1, you need to perform a series of steps. Let's work through it together:
Step 1: Start with the equation 0.24x - 0.74 = -1.1.
Step 2: To isolate the variable x, you should begin by getting rid of the constant term -0.74. We can do this by adding 0.74 to both sides of the equation, since any operation performed on one side must be done to the other side as well. The purpose of this step is to move the constant term to the opposite side of the equation.
So, adding 0.74 to both sides of the equation, we have:
0.24x - 0.74 + 0.74 = -1.1 + 0.74
Simplifying, we get:
0.24x = -1.1 + 0.74
Step 3: Next, we compute the sum -1.1 + 0.74 to get a simplified expression on the right side:
-1.1 + 0.74 = -0.36
Substituting this value into the equation, we have:
0.24x = -0.36
Step 4: To solve for x, we now need to get rid of the coefficient 0.24 attached to the variable x. We can do this by dividing both sides of the equation by 0.24. The purpose is to isolate the variable x on one side.
Dividing both sides of the equation by 0.24, we have:
(0.24x)/0.24 = (-0.36)/0.24
Simplifying, we get:
x = -0.36/0.24
Finally, we can perform the division to determine the value of x:
x = -1.5
Therefore, the solution to the equation 0.24x - 0.74 = -1.1 is x = -1.5.
0.24x−0.74=−1.1
0.24x=0.36
Multiply both sides by 100 to get rid of the fractional coefficient.
24x = 36
Divide both sides by 24.
x= 1.5