[tex] \left \{ {{3x+y=-2} | *3\atop {-5x-3y=2}} \right. [/tex] ⇔ [tex] \left \{ {{9x+3y=-6} \atop {-5x-3y=2}} \right. [/tex]
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[tex] 4x / = -4 [/tex]
[tex] x = -1 [/tex] ⇔ [tex] \left \{ {{x=-1} \atop {3x+y=-2}} \right. [/tex] ⇔ [tex] \left \{ {{x=-1} \atop {-3+y=-2}} \right. [/tex] ⇔ [tex] \left \{ {{x=-1} \atop {y=-2+3}} \right. [/tex] ⇔ [tex] \left \{ {{x=-1} \atop {y=1}} \right. [/tex]