Solve these simultaneous equations: 5x+2y=24 and 4x+3y=10

From the second equation: y=(10-4x)/3
Substitute y to the first equation:
5x+2[(10-4x)/3] = 24

5x+[(20/3)-(8x/3)]=24

5x-(8x/3)=24-(20/3)

(15x-8x)/3=17.333

7x=17.333(3)

x=7.428

Using the second equation to find value of y:

y=(10-4x)/3;   Substitute the value of x=7.428

y=[10-4(7.428)]/3

y= -6.571  (negative 6.571)

There is no graph to go along with this