Question

Find the coordinates of the point of intersection of the graphs of lines: c y=1−2x and y=x−5

Answer 1

(2, - 3 )

Explanation:

Given the 2 equations

y = 1 - 2x → (1)

y = x - 5 → (2)

At the point of intersection the x and y- coordinates of both graphs are equal.

Since both equations express y in terms of x, equate them, that is

x - 5 = 1 - 2x ( add 2x to both sides )

3x - 5 = 1 ( add 5 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into (2) for corresponding value of y

y = 2 - 5 = - 3

Solution is (2, - 3 )

Answer 2

(2,-3)

Explanation:

The given equations are

`y=1-2x` .... (1)

`y=x-5` .... (2)

We need to find the coordinates of the point of intersection of the graphs of these lines.

From (1) and (2), we get

`1-2x=x-5`

`1+5=x+2x`

`6=3x`

Divide both sides by 3.

`(6)/(3)=x`

`2=x`

`y=1-2(2)=1-4=-3`

Hence, the point of intersection is (2,-3).