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standard form y-6=-3(x+2)

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y=2x−3, y=−12x +4

Solution

(

`x`=7+3√54 ,	`y`=7+3√52 −3
`x`=7−3√54 ,	`y`=7−3√52 −3

)

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Solution steps

One step at a time

[

y=2x−3

y=−12x +4

]

Subtrair as equações

y=2x−3

−

y=−12x +4

y−y=2x−3−(−12x +4)

Simplificar

0=2x+12x −7

Resolver 0=2x+12x −7: x=7+3√54 , x=7−3√54

Inserir as soluções x=7+3√54 , x=7−3√54 em y=2x−3

Para y=2x−3, substituir x com 7+3√54 : y=7+3√52 −3

Para y=2x−3, substituir x com 7−3√54 : y=7−3√52 −3

Verificar soluções inserindo-as nas equações originais

Portanto, as soluções finais para y=2x−3, y=−12x +4 são

(

`x`=7+3√54 ,	`y`=7+3√52 −3
`x`=7−3√54 ,	`y`=7−3√52 −3

)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

standard form y-6=-3(x+2)

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