VIPSolutionsWhat is the value of x if x+y = 20 and x-y = 50
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What is the value of x if x+y = 20 and x-y = 50
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Asked by: Vishal
Created at: 2025-09-18 12:09:35
Asked by: Vishal
Created at: 2025-09-18 12:09:35
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# Solving the System of Equations
Given:
1. \( x + y = 20 \)
2. \( x - y = 50 \)
## Step 1: Add the Equations
\[
(x + y) + (x - y) = 20 + 50
\]
\[
x + y + x - y = 70
\]
\[
2x = 70
\]
## Step 2: Solve for \( x \)
\[
x = \frac{70}{2}
\]
\[
x = 35
\]
---
**Final Answer:**
\[
\boxed{x = 35}
\]
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