What is the point of intersection of the straight lines of 4y -2x equals 7 and 5y -3x equals 6?

Lines: 4y-2x = 7 and 5y-3x = 6

Multiply the 1st line by 5 and the 2nd line by 4

So: 20y-10x = 35 and 20y-12x = 24

Subtract the 1st line from the 2nd line: 2x = 11 => x = 11/2

Through substitution both lines intersect at: (11/2, 9/2)