Final answer:
The equation 17.95x × 24 = 18.95x × 18 can be simplified to 430.8x = 340.1x. Subtracting 340.1x from both sides gives us 90.7x = 0, which leads to the solution x = 0. Thus, the equation has one solution.
Step-by-step explanation:
To solve the equation 17.95x × 24 = 18.95x × 18, let's first simplify the equation by performing the multiplications:
17.95x × 24 = 430.8x
18.95x × 18 = 340.1x
Now, let's set the two expressions equal to each other to find the value of x:
430.8x = 340.1x
To solve for x, we subtract 340.1x from both sides:
430.8x - 340.1x = 340.1x - 340.1x
90.7x = 0
Divide both sides by 90.7 to find x:
x = 0/90.7
x = 0
Since we found a value for x, the equation has one solution.