Question

How do you solve linear problems?

Answer 1

Steps for solving a linear problems are as follows:

Step 1. Clear the fractions or decimals.

Step 2. Simplify each side of the equation by removing parentheses and then combine like terms.

Step 3. Separate the variable terms on one side of the equation and constant terms to the other.

Step 4. Solve the equation by dividing each side of the equation by a common constant.

Step 5. Verify your solution by putting it in the given equation.

For Example; Let $2x+3=0$ be a linear equation

Solving it for $x$, we get

$\Rightarrow$$2x=-3$

$\Rightarrow$ $x=-\frac{3}{2}$

Verifying the result:

$2x+3=0$

$\Rightarrow$$2\left(-\frac{3}{2}\right)+3=0$

$\Rightarrow$ $-3+3=0$

$\Rightarrow$ $0=0$

$\therefore$The value of $x$ is correct.

There are other methods to solve linear equations such as:

1. Elimination Method
2. Cross Multiplication Method
3. Substitution Method
4. Graphical Method

Hence, we can solve the linear problems by these steps and methods.