Question

What coordinate pair is the solution for the given system? Equation 1: 4x ? 2y = 4 Equation 2: 2x + y = 6

Answer 1

Answer: The answer is (2, 2).

Step-by-step explanation: The given system of equations is

`4x-2y=4,\\\\2x+y=6.`

We are to find the co-ordinate pair that is the solution for the above system of equation.

Multiplying the second equation by 2 and adding to the first equation, we have

`4x+4x=4+12\\\\\Rightarrow 8x=16\\\\\Rightarrow x=2,`

and

`y=6-2* 2=6-4=2.`

Thus, the co-ordinate pair is (2, 2).