Respuesta :

Answer:

x=11 y=41

Step-by-step explanation:

(4x+6) is equal to (6x-16) so if you put them equal to each other and solve you get x=11. (y+9) is vertical to (6x-16) so theyre equal as well which you then solve to get 41 for y.

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[tex]6x - 16 = 4x + 6[/tex]

Add sides 16

[tex]6x - 16 + 16 = 4x + 6 + 16[/tex]

[tex]6x = 4x + 22[/tex]

Subtract sides 4x

[tex] - 4x + 6x = - 4x + 4x + 22[/tex]

[tex]2x = 22[/tex]

Divide sides by 2

[tex] \frac{2}{2} x = \frac{22}{2} \\ [/tex]

[tex]x = 11[/tex]

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[tex]y + 9 = 6x - 16[/tex]

[tex]y + 9 = 6(11) - 16[/tex]

[tex]y + 9 = 66 - 16[/tex]

[tex]y + 9 = 50[/tex]

Subtract sides 9

[tex]y + 9 - 9 = 50 - 9[/tex]

[tex]y = 41[/tex]

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