Question 114281
First you draw the two lines.
Where the lines intersect, the (x,y)point is a solution to the system of equations.
If the lines never intersect (that is, are parallel) then there is no solution.
{{{ graph( 300, 300, -5, 5, -5, 5, x+2, 4-x) }}}
From the graph it looks like (1,3) is a solution to both equations.
Verify by substituting into each equation.
1.{{{y=x+2}}}
{{{3=1+2}}}
{{{3=3}}}
True statement
2.{{{y=-x+4}}}
{{{3=-1+4}}}
{{{3=3}}}
True statement
Your solution led to true statements from both equations.
Therefore it is a good solution.