Answer with Step-by-step explanation:
6x – 2y = 10 
2x + 3y = 51 
Solving the first equation above for y:
6x-2y=10
⇒ 2y=6x-10
dividing both sides by 2
y=3x-5
Putting value of y in second equation
2x + 3(3x-5) = 51 
2x+9x-15=51
11x=51+15
11x=66
⇒ x=6
y=3×6-5
 =18-5
 = 13
Hence, solution is: x=6 and y=13
and Solving the first equation above for y gives: y=3x-5