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

(2, - 3 )

Step-by-step 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 )

(2,-3)

Step-by-step explanation:

The given equations are

        .... (1)

        .... (2)

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

From (1) and (2), we get

Divide both sides by 3.

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

5

step-by-step explanation:

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