Question

{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method

Please help and show me how you did it

Answer 1

`\displaystyle [-2, 7]`

Step-by-step Step-by-step explanation:

You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

`\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.`

{½[4x + 2y = 6]

{−2x + 2y = 18

>>
`\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ (3y)/(3) = (21)/(3) \\ \\ \\ y = 7`

Plug this back into the system to get the x-value of
`\displaystyle -2.`

I am joyous to assist you at any time.