Question

Find three solution of equation - 4X+2Y-5=0
(x,y) =
(x,y) =
(x,y) =

Answer 1

(0,2.5), (-1.25,0) and (3,8.5)

Explanation:

we have

`-4x+2y-5=0`

This is a linear equation (equation of a line)

If a ordered pair is a solution of the linear equation, the the ordered pair must satisfy the linear equation

1) Find the y-intercept

The y-intercept is the value of the y when the value of x is equal to zero

For x=0

substitute the value of x in the linear equation and solve for y

`-4(0)+2y-5=0`

`2y=5`

`y=2.5`

The ordered pair is (0,2.5)

2) Find the x-intercept

The x-intercept is the value of the x when the value of y is equal to zero

For y=0

substitute the value of y in the linear equation and solve for x

`-4x+2(0)-5=0`

`-4x=5`

`x=-1.25`

The ordered pair is (-1.25,0)

3) Assume any value of x or y and solve for the other variable

For x=3

`-4(3)+2y-5=0`

`-12+2y-5=0`

`2y=17`

`y=8.5`

The ordered pair is (3,8.5)