Question

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

Answer 1

Answer:

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

Step-by-step 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)