Answer:
The x-coordinate of the solution to the system of equations is -2.
Step-by-step explanation:
The system of equations are,
\(y=x+4\) ---------------------1
\(3y=-2x+2\) ----------------2
The solution i.e intersection of these two lines can be found out by solving the system of equations.
Putting the value of y from equation 1 in equation 2, we get
\(\Rightarrow 3(x+4)=-2x+2\)
\(\Rightarrow 3x+12=-2x+2\)
\(\Rightarrow 3x+2x=2-12\)
\(\Rightarrow 5x=-10\)
\(\Rightarrow x=-2\)
Therefore, the x-coordinate of the solution to the system of equations is -2.
