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A system of equations is shown below:

3x − y = 2
x + y = 6

The x-coordinate of the solution to this system of equations is _____.
Numerical Answers Expected!

Respuesta :

3x − y = 2

y = 3x - 2

x + y = 6

x + 3x - 2 = 6

4x - 2 = 6

4x = 6 + 2

4x = 8

x = [tex] \frac{8}{4} [/tex]

x = 2

Hence, the x co-ordinate is 2.
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Answer:

The x-coordinate of the solution to this system of equations is [tex]2[/tex]

Step-by-step explanation:

we have

[tex]3x-y=2[/tex] ------> equation A

[tex]x+y=6[/tex] ------> equation B

Adds equation A and equation B

[tex]3x-y=2\\x+y=6\\--------\\ 3x+x=2+6\\4x=8\\x=2[/tex]

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