[tex]\left \{ {{\frac{x+y}{2} -\frac{5}{2} =\frac{2y}{3} } \atop {\frac{3x}{2} =-2y}} \right.[/tex]
[tex]\left \{ {{\frac{x+y}{2} -\frac{5}{2} =\frac{2y}{3} |*6} \atop {\frac{3x}{2} =-2y}|*2} \right.[/tex]
[tex]\left \{ {{3(x+y)-5*3=2y*2} \atop {3x=-4y}} \right.[/tex]
[tex]\left \{ {{3x+3y-15=4y} \atop {3x=-4y}} \right.[/tex]
[tex]\left \{ {{3x=15-3y+4y} \atop {3x=-4y}} \right.[/tex]
[tex]\left \{ {{3x=15+y} \atop {3x=-4y}} \right.[/tex]
[tex]15+y=-4y[/tex]
[tex]4y+y=-15[/tex]
[tex]5y=-15[/tex]
[tex]y=-15:5[/tex]
[tex]y=-3[/tex]
[tex]3x=-4y[/tex] => [tex]3x=-4*(-3)[/tex]
[tex]3x=12[/tex]
[tex]x=12:3[/tex]
[tex]x=4[/tex]
Вiдповiдь: (4; -3)
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Answers & Comments
[tex]\left \{ {{\frac{x+y}{2} -\frac{5}{2} =\frac{2y}{3} } \atop {\frac{3x}{2} =-2y}} \right.[/tex]
[tex]\left \{ {{\frac{x+y}{2} -\frac{5}{2} =\frac{2y}{3} |*6} \atop {\frac{3x}{2} =-2y}|*2} \right.[/tex]
[tex]\left \{ {{3(x+y)-5*3=2y*2} \atop {3x=-4y}} \right.[/tex]
[tex]\left \{ {{3x+3y-15=4y} \atop {3x=-4y}} \right.[/tex]
[tex]\left \{ {{3x=15-3y+4y} \atop {3x=-4y}} \right.[/tex]
[tex]\left \{ {{3x=15+y} \atop {3x=-4y}} \right.[/tex]
[tex]15+y=-4y[/tex]
[tex]4y+y=-15[/tex]
[tex]5y=-15[/tex]
[tex]y=-15:5[/tex]
[tex]y=-3[/tex]
[tex]3x=-4y[/tex] => [tex]3x=-4*(-3)[/tex]
[tex]3x=12[/tex]
[tex]x=12:3[/tex]
[tex]x=4[/tex]
Вiдповiдь: (4; -3)