Question
Question: How do you solve \[7v-\left( 6-2v \right)=12\]?...
How do you solve 7v−(6−2v)=12?
Solution
The degree of an equation is the highest power of the variable present in it. The degree of the equation decides whether the equation is linear, quadratic, cubic, etc. To solve a linear equation, we have to take all the variable terms to one side of the equation, and constant terms to another side of the equation.
Complete answer:
The given equation is 7v−(6−2v)=12, the highest power to which variable is raised is one, hence the degree of the equation is 1. As the degree of the equation is 1, it is a linear equation. To solve a linear equation, we have to take all the variable terms to one side of the equation, and constant terms to another side of the equation. We can do this in the given equation as follows,
7v−(6−2v)=12
Expanding the bracket in the equation, we get