What is the substitution of
Y=6x–11
-2x–3y=-7

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Mathematics

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What is the substitution of
Y=6x–11
-2x–3y=-7

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Luanaid Luanaid · Answer 1

Luanaid Luanaid

[tex] \left \{ {{y=6x-11} \atop {-2x-3y=-7}} \right. \\\\Subtitute\ first\ equation\ to\ second:\\\\-2x-3(6x-11)=-7\\-2x-18x+33=-7\\-2x-18x=-7-33\\-20x=-40\ \ \ \ \ |:-20\\x=2\\\\y=6\cdot2-11\\y=12-11\\y=1\\\\ \left \{ {{y=1} \atop {x=2}} \right. [/tex]

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