Question

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Answer 1

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Answer 2

Answer ⤵️

where

a

and

b

are real numbers and

x

is a variable. This form is sometimes called the standard form of a linear equation. Note that most linear equations will not start off in this form. Also, the variable may or may not be an

x

so don’t get too locked into always seeing an

x

there.

To solve linear equations we will make heavy use of the following facts.

If

a

=

b

then

a

+

c

=

b

+

c

for any

c

. All this is saying is that we can add a number,

c

, to both sides of the equation and not change the equation.

If

a

=

b

then

a

−

c

=

b

−

c

for any

c

. As with the last property we can subtract a number,

c

, from both sides of an equation.

If

a

=

b

then

a

c

=

b

c

for any

c

. Like addition and subtraction, we can multiply both sides of an equation by a number,

c

, without changing the equation.

If

a

=

b

then

a

c

=

b

c

for any non-zero

c

. We can divide both sides of an equation by a non-zero number,

c

, without changing the equation.

These facts form the basis of almost all the solving techniques that we’ll be looking at in this chapter so it’s very important that you know them and don’t forget about them. One way to think of these rules is the following. What we do to one side of an equation we have to do to the other side of the equation. If you remember that then you will always get these facts correct.

In this section we will be solving linear equations and there is a nice simple process for solving linear equations. Let’s first summarize the process and then we will work some examples.

Hope it helps you ✌️

Step-by-step explanation:

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