Question

Solve graphically and find the points where the given lines meets the $y$-axis:
$2x+y-11=0$, $x-y-1=0$

• A. Solution is $x=2$ and $y=1$ and lines meets $y$-axis
• B. Solution is $x=4$ and $y=3$ and lines meets $y$-axis
• C. Solution is $x=6$ and $y=1$ and lines meets $y$-axis
• D. Solution is $x=7$ and $y=8$ and lines meets $y$-axis

Answer 1

Answer: (B)

Solution is $x=4$ and $y=3$ and lines meets $y$-axis

For $2x+y-11=0$:

x	2	3	4
y	7	5	3

For $x-y-1=0$:

x	0	0	2
y	-1	1	1

As the graph shows, both lines intersect at (4, 3) and the lines $2x+y-11=0\text{and}x-y-1=0$