Question

The system of equations y= 1/4 x-1and y=-1/2 x-1/4 shown on the graph below

Answer 1

The value of x , y coordinate is ( 1,
`(-3)/(4)` )

and Plotting the points on graph

Explanation:

Given as :

The system of equation is

y =
`(1)/(4)` x - 1

The equation can be written as

4 y = x - 4

Or, 4 y - x + 4 = 0 ........1

y = -
`(1)/(2)` x -
`(1)/(4)`

The equation can be written as

4 y + 2 x + 1 = 0 ..........2

Solving the equation

i.e ( x - 4 ) + 2 x + 1 = 0

or, 3 x - 4 + 1 = 0

or, 3 x = - 1 + 4

∴ 3 x = 3

I.e x = 1

Put the value of x in eq 1

So, 4 y - x + 4 = 0

or, 4 y - 1 + 4 = 0

or, 4 y + 3 = 0

or, 4 y = - 3

∴ y =
`(-3)/(4)`

So, The value of x , y coordinate is ( x ,y ) = ( 1 ,
`(-3)/(4)` )

Hence The value of x , y coordinate is ( 1,
`(-3)/(4)` )

and Plotting the points on graph Answer