Chapter: Linear Equations in Two Variables· Mathematics Part 1 (Algebra)
Answer: \(x = 3,\ y = 1\)
\(2x + y = 7\) (\(y = 7 - 2x\)):
| \(x\) | 0 | 2 | 3 |
|---|---|---|---|
| \(y\) | 7 | 3 | 1 |
\(x - y = 2\) (\(y = x - 2\)):
| \(x\) | 2 | 3 | 4 |
|---|---|---|---|
| \(y\) | 0 | 1 | 2 |
[Figure: Both lines drawn on the same graph paper; they intersect at the point (3, 1).]
The point of intersection is \((3, 1)\), so the solution is \(x = 3,\ y = 1\).