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Solve the simultaneous equations
2x+3y=-3
3x-2y=28

Sagot :

kate200468
[tex] \left \{ {\big{ 2x+3y=-3\ /\cdot2} \atop\big {3x-2y=28\ /\cdot3 }} \right.\\\\ \left \{ {\big{ 4x+6y=-6} \atop\big {9x-6y=84 }} \right.\\---------\\4x+9x=-6+84\\\\13x=78\ /:13\\\\x=6\\\\2x+3y=-3\ \ \ \ \Rightarrow\ \ \ 2\cdot6+3y=-3\ \ \ \Rightarrow\ \ \ 3y=-3-12\\\\3y=-15\ /:3\\\\c=-5\\\\Ans.\ \left \{ {{x=6} \atop {y=-5}} \right. [/tex]
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