Answer:
[tex]\displaystyle [-2, -1][/tex]
Step-by-step explanation:
To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :
[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]
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