Now use the method of elimination to solve the system of equations. 18x + 32y = 580 2x + 16y 164 We can eliminate y by multiplying the second equation by -2 and adding the result to the first equation. 18x + 32y = 580 -4x - 32y = -328 14x = X = So the number of servings of Designer Whey to be used is
Now use the method of elimination to solve the system of equations. 18x + 32y = 580 2x + 16y 164 We can eliminate y by multiplying the second equation by -2 and adding the result to the first equation. 18x + 32y = 580 -4x - 32y = -328 14x = X = So the number of servings of Designer Whey to be used is
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:**Solving a System of Equations Using Elimination Method**
To solve the system of equations using the elimination method, follow these steps:
**System of Equations:**
1. \(18x + 32y = 580\)
2. \(2x + 16y = 164\)
**Step 1: Eliminate \(y\)**
We can eliminate \(y\) by multiplying the second equation by \(-2\) and adding the result to the first equation.
Original System:
- \(18x + 32y = 580\)
- \(2x + 16y = 164\) (Multiply by \(-2\))
After multiplying the second equation:
- \(-4x - 32y = -328\)
**Step 2: Add the Equations**
Add the modified second equation to the first equation:
- \((18x + 32y) + (-4x - 32y) = 580 + (-328)\)
Resulting Equation:
- \(14x = \_\_\_\_\)
**Step 3: Solve for \(x\)**
Calculate to find \(x\):
- \(x = \_\_\_\_\)
**Conclusion**
So the number of servings of Designer Whey to be used is \(\_\_\_\_\).
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