Question

find the intersection(s)
y=|x-4|+3 and -x + 2y = 5

Answer 1

y=|x-4|+3
and -x+2y=5
rewrite the 2nd equation we get
y=x/2+5/2

now equating y=|x-4|+3 and y=x/2 +5/2

|x-4|+3=x/2+5/2
removing the absolute valve sign we get
+(x-4)+3=x/2+5/2 ... and -(x-4)+3=x/2+5/2
now we solve each equations...