Question

2. -6a+3=-3(2a-1)

a) a=5
b) a=10
c) no solution
d) identity

3. 0.5b+4=2(b+2)

a) b=0
b) b=0.5
c) no solution
d) identity

4. 8-(3+b)=b-9

a) 7
b) 8
c) no solution
d) identity

Answer 1

`2.\\-6a+3=-3(2a-1)\qquad|\text{use distributive property}\\\\-6a+3=(-3)(2a)+(-3)(-1)\\\\-6a+3=-6a+3\qquad|+6a\\\\3=3\qquad TRUE\\\\Answer:\ d)\ identity`

`3.\\0.5b+4=2(b+2)\qquad|\text{use distributive property}\\\\0.5b+4=(2)(b)+(2)(2)\\\\0.5b+4=2b+4\qquad|-4\\\\0.5b=2b\qquad|-2b\\\\-1.5b=0\qquad|:(-1.5)\\\\b=0\\\\Answer:\ a)\ b=0`

`4.\\8-(3+b)=b-9\\\\8-3-b=b-9\\\\5-b=b-9\qquad|-5\\\\-b=b-14\qquad|-b\\\\-2b=-14\qquad|:(-2)\\\\b=7\\\\Answer:\ a)\ 7`