Question

determine whether or not each equation is a linear equation in two variables. if so, identify a b and c a. 2x =5 + yb. y = 5x + 3

Answer 1

Given:

Linear equation in x and y:

An equation of the form y = mx + c or ax + by +c =0 is a linear equation as the degree of both variables x and y is one.

(a) 2x = 5 + y:

The equation can be written as:

`y=2x-5\text{ or 2x-y-5=0}`

This is of the form of ax+by+c=0 so it is linear.

Here, a=2, b= 1, c= - 5

(b) y = 5x + 3:

`y=5x+3\text{ or 5x-y+3=0}`

This is already in the form of ax + by+ c=0 so it also linear.

Here, a= 5 , b = - 1, c= 3