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,
\(\Rightarrow x+3x-2=6\)
\(\Rightarrow x+3x=6+2\)
\(\Rightarrow 4x=8\)
\(\Rightarrow x=2\)
