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Solve the system of equations using the substitution method. Make sure to check your solution.


y = x - 6


5x + 3y = 14


In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.


x-coordinate:

y-coordinate:

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Respuesta :

JeanaShupp

Answer: x-coordinate: 4

y-coordinate: -2

Step-by-step explanation:

The given system of linear equations:

y= x- 6   ..(i)

5x+3y = 14   ...(ii)

Substitute value of y in (ii), we get

[tex]5x +3(x-6)=14\\\\\Rightarrow\ 5x+3x-18=14\\\\\Rightarrow \ 8x=14+18\\\\\Rightarrow\ 8x=32\\\\\Rightarrow\ x=4[/tex]

Put value of x in (i) , we get

[tex]y=4-6=-2[/tex]

Hence, Required solution:  

x-coordinate: 4

y-coordinate: -2

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