solve

Question

What is the point of intersection of the lines

2x-y=3 and x+y=3

1.(1,2) 2.(3,0) 3.(3,3) 4.(2,1)

Answer 1

Given that 2x - y = 3 -->`(1)

x + y = 3 -->(2)

Add equation 1 and 2

2x - y = 3

x + y = 3

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3x =    6

x = 6/3

x = 2

Substitute x = 2 in equation (2)

x + y = 3

2 + y = 3

y = 3 - 2

y = 1

Therefore (x , y) =(2 , 1)

 option (4)