Question

Find the equation of the line that passes through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0

Answer 1

Answer:

Step-by-step explanation:

considering the two equations

x-y+1=0...(1)

2x-3y+5=0..(2)

multiply equation 1 with 3

3x-3y+3=0

2x-3y+5=0

Now by solving the two equations

we get x=2

y=3

Now the new Equation passing through (2,3) and (3,2) is

y-y1/x-x1=y2-y1/x2-x1

y-3/x-2=3-2/2-3

equation is x+y-5=0