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Can you please help me answer this picture​

Can you please help me answer this picture​-example-1
User Amseager
by
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2 Answers

8 votes

Answer:

Option B. One Solution

Explanation:

5x+17= 4(3x-1)

5x+17 = 12x-4

17+4 = 12x-5x

21. = 7x

thus, x=3 (one solution)

User Micnguyen
by
4.3k points
3 votes

EQUATIONS

We'll solve this equation:

5x + 17 = 4(3x - 1)

First, let's apply the distributive property:

‎ ‏‏‎5x + 17 = 4(3x - 1)

‎ ‏‏‎5x + 17 = 12x - 4

Now, add 4 to both sides of the equation:

‎ ‏‏‎5x + 17 = 12x - 4

5x + 17 + 4 = 12x - 4 + 4

‎ ‏‏‎5x + 21 = 12x

Substract 5x from both sides:

‎ ‎ ‏‏‎5x + 21 = 12x

5x - 5x + 21 = 12x - 5x

‎ ‏‏‎‎ ‏‏‎‎ 21 = 12x - 5x

‎ ‏‏‎‎ ‏‏‎‎ 21 = 7x

Now, divide both sides by 7

‎ ‏‏‎‎ 21 ÷ 7 = 7x ÷ 7

‎ ‏‏‎‎ ‎ ‏‏‎‎ 3 = x

Therefore, x = 3.

‎ ‏‏‎‎

B. The equation has one solution.

User Jhurtado
by
4.3k points