Question

Which of the following expressions shows the expression 1/2x+3−2/5x+1 in simplest form?

Answer 1

Answer:

$\huge\boxed{\dfrac{1}{2}x+3-\dfrac{2}{5}x+1=\dfrac{1}{10}x+4}$

Step-by-step explanation:

$\dfrac{1}{2}x+3-\dfrac{2}{5}x+1\\\\=\left(\dfrac{1}{2}x-\dfrac{2}{5}x\right)+(3+1)\\\\=\left(\dfrac{1\cdot5}{2\cdot5}x-\dfrac{2\cdot2}{5\cdot2}x\right)+4\\\\=\left(\dfrac{5}{10}x-\dfrac{4}{10}x\right)+4\\\\=\dfrac{1}{10}x+4$

Answer 2

Hey there!

1/2x + 3 - 2/5x + 1

COMBINE the LIKE TERMS

= (1/2x - 2/5x) + (3 + 1)

1/2x - 2/5x = 1/10x

3 + 1 = 4

= 1/10x + 4

Therefore, your answer is: 1/10x + 4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)