Question

What is the value of X?

Answer 1

Answer:

a) x=4  b) x=17.5

Step-by-step 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

Answer 2

Answer:

a) x = 4

b) x = 17.5

Step-by-step explanation:

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

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