Respuesta :

Answer:

x=-1, y=5. (-1, 5). The first number is -1 and the second number is 5.

Step-by-step explanation:

6x+2y=4

2x+4y=18

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-2(6x+2y)=-2(4)

2x+4y=18

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-12x-4y=-8

2x+4y=18

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-10x=10

x=10/-10

x=-1

6(-1)+2y=4

-6+2y=4

2y=4-(-6)

2y=4+6

2y=10

y=10/2

y=5

The first number is - 1 and second number is 5.

Let us consider that first number is x and second number is y.

Since, Six times a number plus twice a second number is four.

Equation is,         [tex]6x+2y=4.............(1)[/tex]

Since,  Twice the first number plus four times the second number is eighteen.

Equation is,           [tex]2x+4y=18\\\\x=9-2y[/tex]

Substituting value of x in equation 1.

                     [tex]6(9-2y)+2y=4\\\\54-12y+2y=4\\\\10y=50\\\\y=50/10=5[/tex]

So,   [tex]x=9-2y=9-10=-1[/tex]

Thus, first number is - 1 and second number is 5.

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