Question

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.

3x+4y=16
-4x-3y=-19

Answer 1

Answer: (4,1)

Explanation:

The given system of equations :

`3x+4y=16.............................(1)\\\\-4x-3y=-19...........................(2)`

Multiplying equation (1) by 4 and equation (2) by 3 we get,

`12x+16y=64.............................(3)\\\\-12x-9y=-57...........................(4)`

Add (3) and (4), we get

`7y=7\\\\\Rightarrow\ y=1`

Substitute y=1 in (1), we get

`3x+4(1)=16\\\\\Rightarrow\ 3x=12\\\\\Rightarrow x=4`

Hence, the solution of the given system = (4,1)