Question

Solve the equation: \[y + 3 = 10\]

Answer 1

Hint: We will first consider the given equation and as we have to solve the equation for \[y\], we will subtract 3 on both the sides of the equation and then simplify both left-hand and right-hand side of the equation which will give us the required answer.

Complete step-by-step answer:
We will first consider the given equation that is \[y + 3 = 10\]
The objective is to solve the given equation for \[y\].
Now, to simplify the equation we will subtract 3 on both the sides of the equation that is the left-hand side and right-hand side of the equation.
Thus, we get,
\[ \Rightarrow y + 3 - 3 = 10 - 3\]
Now, we will further simplify the above equation to evaluate the value of \[y\].
\[ \Rightarrow y = 7\]
We can also verify the value of \[y\] by substituting the obtained value in the given expression,
Thus, we get,
\[
   \Rightarrow 7 + 3\mathop = \limits10 \\
   \Rightarrow 10 = 10 \\
 \]
Thus, we can conclude that the value of \[y\] on solving the equation is 7.

Note: We can also take 3 from the left-hand side to the right-hand side of the equation and change the sign from positive to negative and subtract the numbers on the right-hand side of the equation which will directly give us the result. As the given equation is a linear equation of first order, so we can directly solve it for the value of \[y\].