Question

PLEASE HELP!!

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

X-Y=1
y-x=1

no intersection point
infinite intersection points
(1, 0)
(–1, 0)

Answer 1

No intersection point, First choice

Answer 2

Answer: First option is correct.

Explanation:

Since we have given that

`x-y=1----------(1)\\\\y-x=1\\\\\implies x-y=-1-----------------(2)`

So, we first check its consistency:

`a_1=1,b_1=-1,c_1=1\\\\a_2=1,b_2=-1,c_2=-1`

So,
`(a_1)/(a_2)=(b_1)/(b_2)\\eq (c_1)/(c_2)\\\\(1)/(1)=(1)/(1)\\eq (1)/(-1)\\\\1=1\\eq -1`

So, it is the parallel lines.

Hence, there is no intersection points.

Therefore, First option is correct.