Question

How do you solve for the “y” in the equation given \[y + 5x = 6\] ?

Answer 1

Hint: In linear equation of two variables given, to find the solution for any one variable you have to keep the other variable and constant on the other side of equation and only the variable whose value is needed to be found out should alone at one side of the given equation, you have to do some rearrangement for this in the equation.

Complete step-by-step answer:
The given equation is \[y + 5x = 6\]
Rearranging the terms and sending the second variable term on the other side of the equation we get:
 \[
   \Rightarrow y + 5x = 6 \\
   \Rightarrow y = 6 - 5x \;
 \]
Now we get the final equation for finding the value of our required variable “y”, here for every value of “x” the variable “y” will have some value, lets find out some of the values of “y”
On solving we get:
 \[
   \Rightarrow for\,x = 0,1,2,3 \\
   \Rightarrow y = 6,1, - 4, - 9 \;
 \]
Here are some of the values of “y” for the given values of “x”.
So, the correct answer is “y = 6 - 5x”.

Note: For finding the values of the one variable in the equation with respect to the second variable then you have to do some rearrangement in the equation so that an equation of that variable whose value we need can be formed, and once the equation is obtained then easily after assuming different values of the next variable, our result will be obtained.