Mathematics: 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)

15min:2h15min:120min15/1203/241:8 is the answer...

what is the point of intersection when the system

preshoo9941

09.01.2022

First option is correct.

Step-by-step 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, $\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{1}{1}\neq \frac{1}{-1}\\\\1=1\neq -1$

So, it is the parallel lines.

Hence, there is no intersection points.

Therefore, First option is correct.

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