Question

Which value of x satisfies the equation 5/4 (x+5/2) = 15/8

a. 1
b. 2
c. -1
d. -2
Help!!!!

Answer 1

To solve the equation 5/4 (x+5/2) = 15/8, we can start by simplifying the equation and then solving for x.

First, distribute the 5/4 to the terms inside the parentheses:
(5/4)x + (5/4)(5/2) = 15/8

Next, simplify the right side of the equation:
(5/4)x + 25/8 = 15/8

To isolate the variable, subtract 25/8 from both sides:
(5/4)x = 15/8 - 25/8
(5/4)x = -10/8

Simplify the right side:
(5/4)x = -5/4

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/4, which is 4/5:
((5/4)x)(4/5) = (-5/4)(4/5)
x = -20/20
x = -1

Therefore, the value of x that satisfies the equation is x = -1.

So the correct answer is option c. -1.

Answer 2

C) -1

Explanation:

5/4(x + 5/2) = 15/8

There is a couple of ways to do this. I would start off by multiplying all the way through by 8.

10(x + 5/2) = 15 Distribute the 10

10x + 25 = 15 Subtract 25 from both sides

10x = -10 Divide both sides by 10

x = -1

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