Exercise 2 Page 159

To determine if the given equation is a linear equation, let's first see if we can rewrite it in standard form. Ax+ By= CIn this form, A, B, and C are constants and either A or B must be nonzero.

-2 x-3=y

AddEqn

LHS+2x=RHS+2x

-3=2x+y

RearrangeEqn

Rearrange equation

2x+y=-3

This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form. 2x+y=-3 ⇔ 2x+( 1)y= -3 When written this way, we can see that A= 2, B= 1, and C= -3. Since this equation can be written in standard form, it is linear.