Question

How do I solve this? ( explanation with answer)

Answer 1

a) x = 11, d) x = -7, g) x = -5

Explanation:

`a)\\(x+1)/(3)=4\\\\(x+1)/(3)=(4)/(1)\qquad\text{cross multiply}\\\\(x+1)(1)=(3)(4)\\\\x+1=12\qquad\text{subtract 1 from both sides}\\\\x+1-1=12-1\\\\\boxed{x=11}`

`d)\\\\(3x+1)/(4)=-5\\\\(3x+1)/(4)=(-5)/(1)\qquad\text{cross multiply}\\\\(3x+1)(1)=(4)(-5)\\\\3x+1=-20\qquad\text{subtract 1 from both sides}\\\\3x+1-1=-20-1\\\\3x=-21\qquad\text{divide both sides by 3}\\\\(3x)/(3)=(-21)/(3)\\\\\boxed{x=-7}`

`g)\\(11x-1)/(8)=-7\\\\(11x-1)/(8)=(-7)/(1)\qquad\text{cross multiply}\\\\(11x-1)(1)=(8)(-7)\\\\11x-1=-56\qquad\text{add 1 to both sides}\\\\11x-1+1=-56+1\\\\11x=-55\qquad\text{divide both sides by 11}\\\\(11x)/(11)=(-55)/(11)\\\\\boxed{x=-5}`

Answer 2

a.) x= 11

d.) -7

g.) -5

Explanation:

a.) x+1 = 4*3

x=12-1

d.)3x+1=-4*5

3x+1=-20

x=-7

g.)11x-1=-8*7

11x-1=-56

11x=-56+1

x=-5