Question

PLZ help ASAP. 19 points.

Solve the equations:
-3 = z + 4

z - 4 = -8

2.8 = 2y

-7 = z/3

-4 = 2/5x

2(h - 8) - h = h - 16

h= 8
h= -8
h= infinitely many solutions
h= no solution

4 + 2y = 9 + 2y

4
-4
no solution
infinitely many solutions

Answer 1

`-3=z+4\qquad|-4\\-7=z\to\boxed{z=-7}\\\\-----------------------------\\\\z-4=-8\qquad|+4\\\boxed{z=-4}\\\\-----------------------------\\\\2y=2.8\qquad|:2\\\boxed{y=1.4}\\\\-----------------------------\\\\(z)/(3)=-7\qquad|\cdot3\\\boxed{z=-21}\\\\-----------------------------\\\\(2)/(5)x=-4\qquad|\cdot5\\2x=-20\qquad|:2\\\boxed{x=-10}`

`-----------------------------\\\\2(h-8)-h=h-16\qquad|\text{use distributive property}\\(2)(h)+(2)(-8)-h=h-16\\2h-16-h=h-16\qquad|+16\\2h-h=h\\h=h\qquad|-h\\0=0\qquad TRUE\\\boxed{infinitely\ many\ solutions}\\\\-----------------------------\\\\4+2y=9+2y\qquad|-2y\\4=9\qquad FALSE\\\boxed{no\ solution}`