Question

Simplify
1)5x+3=x+13
2)5/2x-1/X =1/6​

Answer 1

1) x = 5/2

2) x = -10

Explanation:

1)

⇒ 4x = 10 [subtract x from both sides; subtract 3 from both sides]

⇒ x = 5/2 [divide both sides by 4]

2)

⇒
`(5)/(2x) - (1)/(x) = (1)/(6)`

⇒
`(2x)/(5) - (x)/(1) = (6)/(1)` [reciprocal function to both sides = x^-1]

⇒
`(2x)/(5) - x = 6` [simplify denominators]

⇒
`2x - 5x = 30` [multiply both sides by 5]

⇒
`-3x = 30` [collect like terms]

⇒
`x = -10` [divide both sides by -3]

Answer 2

Step-by-step explanation (Question 1):

Step 1: (Question 1): Subtract x from both sides.

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

Step 2: (Question 1): Subtract 3 from both sides.

4x+3−3=13−3

4x=10

Step 3: (Question 1): Divide both sides by 4.

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):

Step 1: (Question 2): Multiply by LCM

15x^2 - 6 = x

Step 2: (Question 2): Solve 15x^2

15x^2 - 6 = x:

x = 2/3

x = -3/5

Step 3: (Question 2): Solve

ANSWER: x=0.666667 or x=−0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:

1) x = 5/2

2) x=0.666667 or x=−0.6

Hope this helps.