Question

What point is the intersection of the graphs of the lines 2x - y = 3 and x +y = 3? 1) (2,1) 3) 3,0) 2) (1,2) 4) (3,3)

Answer 1

The point of intersection of the graphs of the lines

2x - y = 3 and x + y = 3 is the solution of the simultaneous equations derived from the two lines.

So

2x - y = 3 ------------------------------------------------(1)

x + y = 3 -------------------------------------------------(2)

Now adding equation (1) to equation (2), we have:

3x = 6

Then

x = 6 / 3 = 2

Substituting x = 2 into equation (2), we have

(2) + y = 3

Hence

y = 3 - 2 = 1.

Therefore, the point of intersection is (2, 1).