Given Information:
- Atomic mass of element x: -75
- Atomic mass of element y: -16
- Compound composition: 75.8% of x

Calculating the Atomic Mass:
To find the formula of the compound, we need to calculate the atomic mass of the compound by considering the atomic masses of elements x and y.

Let's assume the atomic mass of the compound is Z.

Given that 75.8% of the compound is composed of element x, we can calculate the atomic mass of element x in the compound as follows:

Atomic mass of x = 75.8% of Z
= 0.758Z

Since the atomic mass of x is -75, we can write the equation as:

0.758Z = -75

Solving for Z, we find:

Z = -75 / 0.758
≈ -98.94

Therefore, the atomic mass of the compound is approximately -98.94.

Determining the Formula:
To determine the formula of the compound, we need to find the ratio of elements x and y present in the compound.

Let's assume the ratio of x to y is a:b.

Considering the atomic masses, we can write the equation as:

(a * -75) + (b * -16) = -98.94

Simplifying the equation, we have:

-75a - 16b = -98.94

Solving the Equation:
To solve the equation, we can use the method of substitution or elimination.

Using the substitution method, we can solve for a in terms of b:

-75a = -98.94 + 16b
a = (-98.94 + 16b) / -75

Since the ratio of a:b is a whole number, let's find a suitable value for b that gives us a whole number for a.

Finding Suitable Values:
We can try different values of b until we find a whole number for a. Let's start with b = 1:

a = (-98.94 + 16 * 1) / -75
≈ 1.119

Since a is not a whole number, let's try another value of b. Let's try b = 2:

a = (-98.94 + 16 * 2) / -75
≈ -0.953

Once again, a is not a whole number. Let's try b = 3:

a = (-98.94 + 16 * 3) / -75
≈ -2.027

Final Calculation:
After trying different values, we find that the ratio of a:b = 3:1 gives us a whole number for a.

So, the formula of the compound is:

3x + y

Therefore, the compound is composed of 3 atoms of element x and 1 atom of element y, and its formula is 3x + y.

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