209k views
5 votes
Which two values will make the equation true, for ? 4 28 17 8 101 3

A) 4 and 17
B) 8 and 3
C) 28 and 101
D) 17 and 3

1 Answer

2 votes

Final Answer:

B) 8 and 3 will make the equation true, for ? 4 28 17 8 101 3

Step-by-step explanation:

To determine which values satisfy the given equation 4x + 28 = 17x + 8, we need to find the values of x that make the equation true. First, simplify the equation by combining like terms:

28 = 13x + 8

Subtract 8 from both sides:

20 = 13x

Divide both sides by 13:

x = 20/13

Now, evaluate the remaining answer choices using the found value of x:

For x = 4: 4 * (20/13) + 28 = 80/13 + 364/13 = 444/13

For x = 8: 8 * (20/13) + 28 = 160/13 + 364/13 = 524/13

For x = 17: 17 * (20/13) + 28 = 340/13 + 364/13 = 704/13

For x = 3: 3 * (20/13) + 28 = 60/13 + 364/13 = 424/13

The values that satisfy the equation are x = 8 and x = 3. Therefore, the correct answer is B) 8 and 3.

User Anna K
by
8.3k points