Question

the point of intersection of lines x+y=0 and 2x-y=9 is options a) (3,3) b)(3,-3)c) (-3,3) d) (-3,-3)​

Answer 1

Answer:

step by step 4.4=8 9.9=18

Answer 2

Answer:

(B) 3, -3

Step-by-step explanation:

x+y = 0

x = -y

If y = 0, x = 0

If y = 1, x = (-1)

If y = (-3), x = 3

Hence, you can draw a table with x and y values.

$\left[\begin{array}{ccc}x&y\\0&0\\-1&1\\3&-3\end{array}\right]$

2x-y = 9

2x = 9+y

x = (9+y)/2

If y = 1, x = 5

If y = (-1), x = 4

If y = (-3), x = 3

Hence, you can draw a table with x and y values.

$\left[\begin{array}{ccc}x&y\\5&1\\4&-1\\3&-3\end{array}\right]$

Now, if you will plot these points on a graph paper, you will get the lines that represent the given equations. The point at which these 2 lines will meet will be the point of intersection.

There is another method by which you can know the point of intersection if you don't want to plot a graph. You can look for common coordinates as at these coordinates, the 2 lines will intersect each other. From the above tables, we know that the common coordinate is (3, -3). Hence, this is the point of intersection.

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