NeimaM296455 NeimaM296455
  • 03-11-2022
  • Mathematics
contestada

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

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IbrohimT730670 IbrohimT730670
  • 03-11-2022

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:

[tex]y=2x-5\text{ or 2x-y-5=0}[/tex]

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:

[tex]y=5x+3\text{ or 5x-y+3=0}[/tex]

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

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

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