Respuesta :

There is the equal values method, so you can do:

x-4 = 4x-10 (remove x from both sides)
-4 = 3x -10 (add ten to both sides)
6 = 3x  (devide by 3x)
2 = x

Check: (by plugging it into the equation)
y = 2-4 and y = 8-10
y = -2 and y = -2
that's matches so it is correct...
 YOUR ANSWER IS:
(2, -2)

I hoped I helped sort things out, and have a great day!

The value of the x is 2 and y is -2.

Given that,

The system of equation is;

[tex]\rm y=x-4\\\\y=4x-10[/tex]

We have to determine

The value of x and y by using the substitution method.

According to the question

The system of equation is;

[tex]\rm y=x-4\\\\y=4x-10[/tex]

Substitute the value of y from equation 1 to equation 2

[tex]\rm y = x-4\\\\4x-10=x-4\\\\4x-x=-4+10\\\\3x=6\\\\x = \dfrac{6}{3}\\\\x=2[/tex]

Substitute the value of x in equation 1

[tex]\rm y = x-4\\\\y = 2-4\\\\y = -2[/tex]

Hence, The value of the x is 2 and y is -2.

To know more about the Substitution Method click the link given below.

s://brainly.com/question/15683891

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