Question

What is the solution to the system of linear equations?

2x + y = 7

x - 2y = 16

Answer 1

Explanation:

1. Reform the first equation: y = 7 - 2x; y = -2x + 7
2. Reform the second equation: -2y = -x + 16; y = 0.5x + 8
3. Equate: -2x + 7 = 0.5x + 8; -4x + 14 = x + 16; -3x + 14 = 16; -3x = 2; x = -
   `(2)/(3)`
4. Calculate y: y = -2 * - 2/3 + 7 = 4/3 + 7; y =
   `(25)/(3)`
5. Define S(
   `-(2)/(3) ; (25)/(3)`)