Question

Identify the solution of the system, of equation, the intersection coordinates.

x+y=-6
6x-7y=42

Answer 1

`(0,-6)`

Explanation:

`x+y=-6.........eq(1)\\\\6x-7y=42.....eq(2)\\\\7* eq(1)+eq(2)\\\\7(x+y)+6x-7y=7* (-6)+42\\\\7x+6x+7y-7y=-42+42\\\\13x=0\\\\x=0\\\\Substitute\ the\ value\ of\ x\ in\ the\ eq(1)\\\\0+y=-6\\\\y=-6\\\\Solution\ of\ the\ equation\ is\ (0,-6)`