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

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**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 \(\_\_\_\_\).
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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