How To Solve A Linear Equation With One Fraction?

Linear equation is made of constant terms and variables. This linear equation can also have fractional terms in it. For Example: (2x + 3) / 4 = 12 is a linear equation with one fraction. Now let us see how to solve a linear equation with one fraction.

As we know that solving a linear equation is an algebraic task. For this we need a linear equation which consists of at least one fraction. Let us see the procedure to solve the linear equation with one fraction step by step:

Step 1: First of all we require a linear equation with at least one fraction. Assume that we have a linear equation 2x + 3= (x + 19) / 4.

Step 2: Right side of equation consists of a fraction. Solving a linear equation refers to find the value of the variable. So we will find the value of variable 'x'.

Step 3: Perform the cross multiplication in this. In cross multiplication we multiply the denominator of right side with numerator of left side and denominator of left side with numerator of right side like:
(2x + 3) * 4 = (x + 19),
8x + 12 = x + 19.

Step 4: Now shift all variables to left side of equation and place all the constant terms to right side of the equation.
8x – x = 19 – 12,
7x = 7,
X = 7 / 7,
X = 1,
So we get the value of variable 'x' which is 1.