Answer:
x=4, y=9/7
Step-by-step explanation:
We will use the property that the opposite sides of a rectangle are equal
3(3y-1)=2(y+3)
9y-3=2y+6
7y=9
y=9/7
2x=4(x-2)
2x=4x-8
2x=8
x=4
We know that the mixture has 14 mm of ink. Of these, 35% are blue pigment, hence the mixture contains 4.9 mm of blue ink. Ink A contains 10%*4mm=0.4mm of blue ink. The difference, 4.5 mm of blue ink must have come from ink B. Thus ink B contains 4.5 mm of blue ink and is in total 10mm. After that, we can calculate the percentage; we divide 4.5/10=0.45 and this is the ratio of blue ink to total ink (in Ink B). If we transform it to percentages it is 45%
Since AM = 2cm and AC = 6cm we can write the following:
AM + AC = 8cm
So, now we only create a fraction demonstration the length from AM to AC:
which can be simplified to 
Conclusion/answer:
The length from AM to AC is:
Hope it helped,
BioTeacher101
