The x-coordinate of the point of intersection is -2
Step-by-step explanation:
Here we have a typical system of linear equations whose solution will give us both the x- and the y- coordinates (i.e. the intersection point).
Let us solve the system and find which matches the available options, as follow. Given:
![2x+y=1\\9x+3y=-3](/tpl/images/0472/7306/a171c.png)
Taking the first expression and re arranging to solve for
we have:
   Eqn.(1)
Plugging in it, in the second expression we then have
![9(\frac{1-y}{2} )+3y=-3\\\\\frac{9}{2}-\frac{9y}{2}+3y=-3\\ \\\frac{9}{2}-\frac{9y}{2}+\frac{6y}{2}=-\frac{6}{2}\\ \\-\frac{9y}{2}+\frac{6y}{2}=-\frac{6}{2}-\frac{9}{2}\\-3y=-15\\y=\frac{-15}{-3}\\ y=5](/tpl/images/0472/7306/0bd42.png)
So finally plugging in the y value in Eqn.(1) we have
![x=\frac{1-5}{2} \\x=\frac{-4}{2}\\ x=-2](/tpl/images/0472/7306/b6b30.png)
The x-coordinate of the point of intersection is -2