Question

Is (4,-2) the solution of the system of equations shown below? 2X+4Y=-2. -4X+Y=-14. Anders: yes, no, they are the same line

Answer 1

No

Explanation:

Given

`2x + 4y = -2`

`-4x + y = -14`

Required

Is (4,-2) a possible solution?

In (4,-2)

`x = 4`

`y = -2`

Substitute
`x = 4` and
`y = -2` in:
`2x + 4y = -2`

`2(4) + 4(-2) = -2`

Open all brackets

`2*4 - 4*2 = -2`

`8 - 8 = -2`

`0 \\e -2`

The above expression shows that (4,-2) is not a solution and there is no need to check for the second equation.