Solve the following system of equations by using the method of elimination by equating the coefficients: `x/(10)+y/5+1=15` `x/8+y/6=15`

Explanation

To solve the system of equations using the method of elimination by equating the coefficients, we will follow these steps:

### Given Equations:
1. \( \frac{x}{10} + \frac{y}{5} + 1 = 15 \)
2. \( \frac{x}{8} + \frac{y}{6} = 15 \)

### Step 1: Simplify the First Equation
First, we will simplify the first equation by eliminating the fractions. We can multiply the entire equation by 10 (the least common multiple of the denominators):
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