Question

What is the value of X?

Answer 1

a) x = 4

b) x = 17.5

Explanation:

`a)\\\\(5x)/(2)+1=11\qquad\text{subtract 1 from both sides}\\\\(5x)/(2)+1-1=11-1\\\\(5x)/(2)=10\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot(5x)/(2\!\!\!\!\diagup_1)=(2)(10)\\\\5x=20\qquad\text{divide both sides by 5}\\\\(5x)/(5)=(20)/(5)\\\\\large\boxed{\boxed{x=4}}`

`b)\\\\(2x)/(7)-3=2\qquad\text{add 3 to both sides}\\\\(2x)/(7)-3+3=2+3\\\\(2x)/(7)=5\\\\(2x)/(7)=(5)/(1)\qquad\text{cross multiply}\\\\(2x)(1)=(7)(5)\\\\2x=35\qquad\text{divide both sides by 2}\\\\(2x)/(2)=(35)/(2)\\\\\large\boxed{\boxed{x=17.5}}`

Answer 2

a) x=4 b) x=17.5

Explanation:

a)5x/2+1=11 b)2x/7-3=2

5x/2=11-1 2x/7=2+3

5x/2= 10 2x/7=5

5x= 10x2 2x=35

5x=20 x=35/2

x=20/5 x=17.5

x=4