Question

How do you solve this system of equations: `3x + y = 6; 5x + 4y = 10`?

Answer 1

`(2,0)`

Explanation:

No mercy.

`((3,1), (5,4))((x), (y)) = ((6), (10))`

`D = det [3,5,1,4] = 3 * 4 - 5 * 1 = 7`

`x = frac{det [6,10,1,4]}{D} = frac{6 * 4 - 10*1}{7} = 2`

`y= frac{det [3,5,6,10]}{D} = frac{3 * 10 -5 * 6}{7} = 0`

Google Cramer's rule.