How to Handle Every Linear Equation Challenge with Ease Using These Tips?

What do you understand by a linear equation?

A linear equation is of the form ax + b = 0, where a and b are constants (basically real numbers) and x is a variable. This form of linear equation is known as the standard form.

A value that satisfies a linear equation is known as the root of the equation.

For Example, 4x + 5 = 0, 2x + 7 = 0, and 6x + 4 = 0 are different linear equations.

But, why are these types of equations known as linear equations? The reason is that if you plot a graph of any of these equations, it’ll be a straight line, that is, linear.

 

How to utilize the linear equation solver?

Now, it is the time to solve the equations in real time and understand the concept. Let us work together in some problems first.

Problem 1: Solve the equation 5x – 6 = 4.

Solution 1: The given equation is 5x – 6 = 4.

  1. 5x – 6 + 6 = 4 + 6 (adding 6 on both the sides of the equation)
  2. 5x = 10
  3. X = 2 (dividing 10 by 5 to obtain the answer).

Problem 2: Solve the equation X + 5 = 4.

Solution 2: The equation is X + 5 = 4.

  1. X + 5 – 5 = 4 – 5 (subtracting 5 from both the sides of the equation)
  2. X = -1.

Thus, you have successfully learned to solve the basic linear equations. In our algebra solver, we have also included advanced problems, so that you are always one step higher than others. Let us now solve some more equations.

Problem 3: Solve the equation 2 (2 + x) + 6 = 9x – (x – 2).

Solution 3: As per the BODMAS rule, you have to start by opening the brackets.

  1. 4 + 2x +6 = 9x – x + 2
  2. 2x + 10 = 8x + 2
  3. 2x + 10 – 10 = 8x + 2 – 10 (subtracting 10 from both the sides of the equation)
  4. 2x = 8x – 8
  5. 8x – 2x = 8 (taking common terms on one side)
  6. 6x = 8
  7. X = 4 / 3 (diving 8 by 6).

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