torres20096 torres20096

14-08-2022
Mathematics

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Solve the system of equations 2x + 3y = 2 and 6x - y = -4

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Medunno13 Medunno13

15-08-2022

[tex]6x-y=-4 \implies 18x-3y=-12[/tex]

Adding this to the first equation yields that 20x=-10, and hence x=-1/2.

It follows that:

[tex]2(-1/2)+3y=2 \\ \\ -1+3y=2 \\ \\ 3y=3 \\ \\ y=1 \\ \\ \therefore \boxed{x=-1/2, y=1}[/tex]

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