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Setler79 [48]
3 years ago
13

Use the properties of equality to finish solving the equation. 3 4 (20y − 8) + 5 = 1 2 y + 1 4 (20y + 8) 1. Distribute the 3 4 a

nd 1 4 : 2. Combine like terms: 15y − 6 + 5 = 1 2 y + 5y + 2 15y − 1 = 11 2 y + 2 What is the solution?
Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

6/9

Step-by-step explanation:

Orlov [11]3 years ago
3 0

Answer:

The solution of the equation is y = 6/19

Step-by-step explanation:

Seems the division signs are omitted. The correct equation is given below.

The equation is:

3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)  

1. Distribute 3/4 and 1/4, so that we get

15y - 6 + 5 = 1/2y + 5y + 2

2. Combine like terms, we get

15y - 1 = 11/2 y +2

Now, we will collect like terms

15y - 11/2 y = 2 + 1

This can properly written as

15y - \frac{11}{2}y = 2 + 1

\frac{30y - 11y}{2} = 3

\frac{19y}{2}  = 3

Then,

19y = 2 \times 3

19y = 6

∴ y = 6/19

Hence, the solution of the equation is y = 6/19.

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