Question

Find the solution of the equation $5x-1=74$.

Answer 1

Hint: To find the solution of the equation $5x-1=74$ , we have to apply algebraic rules. Firstly, we have to collect the constant one side and the variables on the other. Then, we have to add the like terms. Lastly, we have to move the coefficient of x to the other side and simplify.

Complete step-by-step solution:
We have to find the solution of the equation $5x-1=74$ . Firstly, we have to collect constants on one side. Let us move -1 to the RHS. We know that when we move a negative number from one side to the other, it becomes positive. Therefore, we can write the given equation as
$\Rightarrow 5x=74+1$
Now, we have to add the terms in the RHS.
$\Rightarrow 5x=75$
We have to find the value of x. For this, we have to move the coefficient of x to the RHS. We know that when we move a multiplier or multiplicand from one side to the other, it becomes the divisor. Therefore, the above equation can be written as
$\Rightarrow x=\dfrac{75}{5}$
Let us divide 75 by 5. We can write the above equation as
$\Rightarrow x=15$
Hence, the solution of the equation $5x-1=74$ is $x=15$.

Note: Students must have deep knowledge in algebra, the rules associated in solving algebraic expressions and the laws or properties of algebra. We have seen what happens when we move a negative number and a multiplier (or multiplicand) from one side to the other. Similarly, when we move a positive term to the other side, it becomes negative. Similarly, a divisor one one side will be a multiplier on the other.