SOLUTION: considering the two lines y=2x-1 and y= -x +3 how do decide if the two lines intersect? and if they do what is the point of intersection? please show working. Thanks

Algebra.Com
Question 326547: considering the two lines
y=2x-1 and y= -x +3
how do decide if the two lines intersect? and if they do what is the point of intersection? please show working. Thanks

Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!
y=2x-1

-x+3=2x-1


3+1=2x+x

4=3x

x=4/3

y=2x-1=2(4/3)-1=8/3-1=5/3

Answers: x=4/3, y=5/3

RELATED QUESTIONS

Two lines have the equations 2x – y = 1 At what point do they intersect? 3x = y (answered by Alan3354)
Consider the two curves given by y= 3x-2 and y= -x^2+2x+1 how do I decide if the two... (answered by mananth)
Determine whether the pair of lines y = 2x + 1 and x - y = 5 are parallel or intersect.... (answered by fractalier,Fombitz)
What point do the lines represented by the equations 2x+y+1=0 and 4x+y-3=0 intersect (answered by Alan3354)
what is the x-coordinate of the point in the standard (xy) coordinate plane at which the... (answered by stanbon)
hi, i need some assistance with this question. at what point do the two lines with the... (answered by edjones)
y = 3x + 7 and x + 2y = -10 a.Do the lines intersect? Explain why. If the lines do... (answered by richwmiller)
A line is parallel to y = 2x + 3 and goes through the point... (answered by richwmiller)
at what point do the two lines intersect? (answered by ikleyn)