Question

How do you solve $2x+3x=5$ ?

Answer 1

Hint: Now we are given with a linear equation in one variable. To solve the given equation we will add the terms of variables to first simplify the equation and write it in the form of $ax=b$ . Now we will divide the whole equation by coefficient of x and hence we have the required value of x.

Complete step by step solution:
Now we are given an equation $2x+3x=5$ .
This is a linear equation in one variable.
Let us first understand linear equations.
Linear equations are equations which have a variable of degree at most 1.
Hence the power of the variables can be 1.
Now we know that variables are nothing but unknown quantities in the equation.
To solve the equation means we want to find the value of a variable such that the equation holds. Hence here we want to find the value of x such that the equation holds.
Now in an equation we can add the terms with the same variable and same degree.
Hence we have 3x + 2x = 5x.
Hence using this in the given equation we get $5x=5$ .
Now to find the value of x we can simply divide the whole equation by 5.
Hence we get $x=1$ .
Hence the value of x for which the equation holds is 1.

Note: Now note that the addition and subtraction of the terms in equation is only possible for terms with same variable and degree. This is because of distributive property. As we have $a\left( b\pm c \right)=ab\pm ac$ we can write $2x+3x=x\left( 2+3 \right)=5x$