Question

How do you solve for y in $y - 9 = x$?

Answer 1

Here in this given equation is a linear equation with two variables. Here we have to solve for one variable. To solve this equation for y by using arithmetic operation we can shift the x variable to the right hand side of the equation then solve the equation for y and on further simplification we get the required solution for the above equation.

Complete step by step solution:
Given $y - 9 = x$.
We can see that ‘x’ is on the right hand side of the equation and no need to change it.
We need to transpose ‘9’ to the right hand side of the equation by adding 9 on the right hand side of the equation.
$\Rightarrow y = x + 9$
This is the required solution.M
If we observe the obtained solution we notice that it is in the form of the equation slope intercept form. That is $y = mx + c$, where ‘m’ is slope and ‘c’ is y-intercept.
It is in the exact slope intercept form no need to rearrange the equation,
$\Rightarrow y = x + 9$, where slope is $1$ and the intercept is $9$.

Note: By putting different values of x and then solving the equation, we can find the values of y. The algebraic equation or an expression is a combination of variables and constants, it also contains the coefficient. Generally we denote the variables with the alphabets. Here both ‘x’ and ‘y’ are variables. The numerals are known as constants and here $9$ is constant. The numeral of a variable is known as co-efficient and here $1$ is coefficient of ‘x’.