Answer:
(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 )
Answer:
(2,-3)
Step-by-step explanation:
The given equations are
[tex]y=1-2x[/tex] .... (1)
[tex]y=x-5[/tex] .... (2)
We need to find the coordinates of the point of intersection of the graphs of these lines.
From (1) and (2), we get
[tex]1-2x=x-5[/tex]
[tex]1+5=x+2x[/tex]
[tex]6=3x[/tex]
Divide both sides by 3.
[tex]\frac{6}{3}=x[/tex]
[tex]2=x[/tex]
[tex]y=1-2(2)=1-4=-3[/tex]
Hence, the point of intersection is (2,-3).
