Question

Find the point of intersection of the pair of straight lines.
2x + 4y = 19
−3x + 3y = 3

Answer 1

adjust things a bit to get

6x+12y = 57
-12x+12y = 12

subtract and you get

18x = 45
x = 5/2

Now use that to find y.

Or, note from the 2nd equation divided by 3 that

-x+y=3
y=x+1

Use that in the 1st equation to get

2x+4(x+1) = 19
2x+4x+4 = 19
6x = 15
x = 5/2