Question

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

Answer 1

Answer:

$\displaystyle [-2, 7]$

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

>> $\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7$

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

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