Answer:
[tex]\displaystyle [-2, 7][/tex]
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:
[tex]\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.[/tex]
{½[4x + 2y = 6]
{−2x + 2y = 18
>> [tex]\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7[/tex]
Plug this back into the system to get the x-value of [tex]\displaystyle -2.[/tex]
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