18-11-2014
Mathematics

Answered

Solve the system if equations by substitution

Y=3x-13
3x+2y=19

Answer :

18-11-2014

[tex] \left \{ {{y=3x-13} \atop {3x+2y=19}} \right. \\\\Substitution\\\\ 3x+2(3x-13)=19\\\\ 3x+6x-26=19\\\\ 9x-26=19\ \ \ |add\ 26\\\\ 9x=45\ \ \ | divide\ by\ 9\\\\ x=5\\y=3x-13=3*5-13=15-13=2\\\\\\ x=5\\y=2[/tex]

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