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Well, there are several ways to answer this question:
\n" ); document.write( "1> After graphing it, you will see that there will be one point intersected.
\n" ); document.write( "2> Looking at the two equations, these are equations of straight line, since the slopes are different (look at the coefficients of x/coefficient of y in the equations) thus, they intersect at one point only.
\n" ); document.write( "By the way, if the two slopes are equal, they may be parallel and have no common point or the two line are one i.e. they have indefinite common points.
\n" ); document.write( "3> Let (xo, yo) the common point of the two lines, since the point belong to both line, the coordinates have to satisfy both the equations -> Solve the system of equations. The number of combination (xo,yo) are the number of point they have in common i.e the number of point they intersect.
\n" ); document.write( "(1) 4xo - 2yo = 5
\n" ); document.write( "(2) yo = xo
\n" ); document.write( "From (2), substitute y by x in the equation (1), we have: 4xo - 2xo = 5 <-> xo = 2.5, look back at (2) -> yo = xo = 2.5, so there is only one common point (2.5,2.5).\r
\n" ); document.write( "\n" ); document.write( "If you have any more questions on this problem, send me a message. \n" ); document.write( "