Question

How do you solve for y in $12x - 4y = 20$?

Answer 1

Hint: As we know in mathematics, an equation refers to a mathematical statement, which consists of an equal symbol (that is '=') between the two algebraic expressions that have the same value. The most common and basic algebraic equations in maths usually have one or more variables. Here we need to simply express the y in terms of x as discussed below.

Complete step-by-step solution:
Given that the equation as given below:
$12x - 4y = 20$
Divide both sides by 4 and we will get-
$\left( {12x - 4y} \right) \times \dfrac{1}{4} = \dfrac{{20}}{4}$
Add y to both sides:
$\left( {3x - y} \right) = 5$
Subtract 5 from both sides:
$y = 3x - 5$
Now, as we know, A linear equation is an equation for a straight line.
For example, as we observe in this question.
The term involved in the linear equation is either a constant or single variable or a product of a constant. Linear equation will be written as:
Y = mx + C, m is not equals to 0.
where,
m is slope of line and
C is y intercept

Hence, the value of y is $\left( {3x - 5} \right)$.

Note: Always remember that, $12x - 4y = 20$ is an equation in which $12x - 4y$ and 20 are two expressions. In an algebraic equation, the left-hand side is equal to the right-hand side. while $12x - 4y$, is not an equation, because it does not consist of an equal’s sign. It is only an expression.