Question

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 _____.

Answer 1

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The x-coordinate of the solution to this system of equations shown below is x = 2 .   
    
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Answer 2

Answer:

The x-coordinate of the solution to this system of equations is 2.

Step-by-step explanation:

The system of equations is,

$3x-y=2$

$x+y=6$

Calculating the value of y from equation 1 and then substituting that in equation 2, can give the x-coordinate of the solution to this system of equations.

So,

$\Rightarrow 3x-y=2$

$\Rightarrow -y=2-3x$

$\Rightarrow y=3x-2$

Substituting further,

$\Rightarrow x+3x-2=6$

$\Rightarrow x+3x=6+2$

$\Rightarrow 4x=8$

$\Rightarrow x=2$