Question

Solve the system of equations algebraically.
4x - 3y = 6
6x - 5y = 6

Answer 1

Answer: x=6 y=6

Explanation:

`\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\`

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

`4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\`

Divide both parts of the equation by 2:

`y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6`