Question

What is the solution to the open sentence? 3y – 4 = y + 10

a. 2
b. 3
c. 6
d. 7

Answer 1

1. subtract y from both sides 3y-4=y+10
. -3 -3
2.now you have -4=-2y+10 subtract 10 to both sides
-10 -10
3. you have -14=-2y divide
4. y=7

Answer 2

Answer: the correct option is

(d) 7.

Step-by-step explanation: We are given to solve the following open sentence :

`3y-4=y+10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given equation, we need to find the value of the unknown variable y.

The solution of equation (i) is as follows :

`3y-4=y+10\\\\\Rightarrow 3y-y=10+4\\\\\Rightarrow 2y=14\\\\\Rightarrow y=(14)/(2)\\\\\Rightarrow y=7.`

Thus, the required solution is y = 7.

Option (d) is CORRECT.