Help please with manipulating fractions URGENT

1: x=y-3    linear equation : y=x+3

2:y=-2x-3  linear equation : y=-2x-3

3: -4y+6 =2 linear equation : y=2-6/-4 ⇒ y=1

4:2/3 x-1/3y=2 , linear equation : y=2x-6

 -1/3 y=2-2/3 x

 y=-6+2x

13: 5x+25=y² not linear

y = √5x+25

14 : 8+y=4x linear y=4x-8

15: 9xy-6x=7 not linear

16: 4y²+9=-4 ⇒ y²=-4/4 -9/4 ⇒y=√-1-2.25 ⇒y=√-3.25 not linear

17: 12x=7y-10y  linear : y=12x/-3 ⇒ y=-4x

18:y=4x+x linear y=5x

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get