Question

What iss the equation of the line passing the point of intersection of the lines x+2y-3=0 and 2x-y+5=0 and parallel to the line y-x+10=0?

Answer 1

x + 2y =3
x= (3 - 2y)


2x-y= -5
2(3-2y) -y = -5
6 -4y -y =-5
6 -5y =-5

y=11/5

adding in equation I
x+ 22/5=3
x= 22-15/5

x= -7/5


y-x+10 =0
22/5 +7/5 +10

79/5 =0
79