Question

What is the solution to the open sentence? 3y – 4 = y + 10 a. 2 b. 3 c. 6 d. 7

Answer 1

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 :

$3y-4=y+10\\\\\Rightarrow 3y-y=10+4\\\\\Rightarrow 2y=14\\\\\Rightarrow y=\dfrac{14}{2}\\\\\Rightarrow y=7.$

Thus, the required solution is y = 7.

Option (d) is CORRECT.

Answer 2

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