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Sagot :
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.
Answer:
1) x = 5/2
2) x = -10
Step-by-step explanation:
1)
⇒ 4x = 10 [subtract x from both sides; subtract 3 from both sides]
⇒ x = 5/2 [divide both sides by 4]
2)
⇒ [tex]\frac{5}{2x} - \frac{1}{x} = \frac{1}{6}[/tex]
⇒ [tex]\frac{2x}{5} - \frac{x}{1} = \frac{6}{1}[/tex] [reciprocal function to both sides = x^-1]
⇒ [tex]\frac{2x}{5} - x = 6[/tex] [simplify denominators]
⇒ [tex]2x - 5x = 30[/tex] [multiply both sides by 5]
⇒ [tex]-3x = 30[/tex] [collect like terms]
⇒ [tex]x = -10[/tex] [divide both sides by -3]
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