Question

How do you solve $5-4c=c+20$?

Answer 1

Hint: In this question we have been given with a linear equation for which we have to find the value of the term $c$. We will do so by isolating the term $c$ in the expression. We will rearrange the terms in the expression by keeping the variable term on the left-hand side while keeping the constant values on the right-hand side and simplifying the terms to get the required solution.

Complete step by step solution:
We have the expression given to us as:
$\Rightarrow 5-4c=c+20$
Now we will take the similar terms on the same side, on transferring $c$ from the right-hand side to the left-hand side and transferring the term $5$ from the left-hand side to the right-hand side, we get:
$\Rightarrow -4c-c=20-5$
On simplifying the left-hand side, we get:
$\Rightarrow -5c=20-5$
On simplifying the right-hand side, we get:
$\Rightarrow -5c=15$
On transferring the term $5$ from the left-hand side to the right-hand side, we get:
$\Rightarrow -c=\dfrac{15}{5}$
On simplifying, we get:
$\Rightarrow -c=3$
On multiplying both the sides by $-1$, we get:
$\Rightarrow c=-3$, which is the final answer.

Note: Now to check whether the answer is correct, we will substitute the value of $c=-3$ in the equation.
$\Rightarrow 5-4\left( -3 \right)=-3+20$
On simplifying the bracket, we get:
$\Rightarrow 5+12=-3+20$
On simplifying both the sides, we get:
$\Rightarrow 17=17$, since the left-hand sides equals the right-hand side, the solution is correct.
when there is one variable in an equation, we can find its solution by addition or subtraction, when there are two or more than two variables in the equation, we need that many equations to solve the question. The solution can be found using elimination method or by using a matrix.