Question

Solve for the value of y: \[y + 3 = 10\]
A. 8
B. 7
C. 6
D. 9

Answer 1

Hint: We shift all constant values to one side of the equation and use arithmetic operations like addition, subtraction, multiplication and division.

Complete step-by-step solution:
We are given a linear equation in variable ‘y’ i.e. \[y + 3 = 10\]
We have to calculate the value of ‘y’ such that when substituted in the left hand side of the equation we get the value equal to the right hand side of the equation.
Here the left hand side of the equation is \[y + 3\] and the right hand side of the equation is 10.
We have to put that value of y such that the left hand side of the equation becomes equal to 10.
Equate the left hand side of the equation to the right hand side of the equation.
\[ \Rightarrow y + 3 = 10\]
Shift all constant values to right hand side of the equation
\[ \Rightarrow y = 10 - 3\]
Calculate the subtraction in right hand side of the equation
\[ \Rightarrow y = 7\]
Now we check by substituting the value of y obtained back in equation \[y + 3 = 10\]and check that the left hand side of the equation equals the right hand side of the equation.
Substitute \[y = 7\]in equation\[y + 3 = 10\]
\[ \Rightarrow 7 + 3 = 10\]
\[ \Rightarrow 10 = 10\]
Since left hand side of the equation is equal to right hand side of the equation, the value of \[y = 7\]
\[\therefore \]The value of y is 7

\[\therefore \]Option B. is correct.

Note: Students are likely to make mistakes while shifting the values from one side of the equation to another side of the equation as they forget to change the sign of the value shifted. Keep in mind we always change the sign of the value from positive to negative and vice versa when shifting values from one side of the equation to another side of the equation.