Answer:
x = 9, y = 2 is the solution of the given system.
Step-by-step explanation:
Here, the given set of equation is :
2 x - 3 y = 12
x = 4 y + 1
Now, from equation (2) we see that x = 4 y + 1.
Substitute the value of y from (2) in the first equation. we get:
2 x - 3 y = 12 ⇒ 2 (4 y + 1) - 3 y = 12
or, 8 y + 2 - 3 y = 12
or, 5 y = 12- 2 = 10
or, y = 10/ 5 = 2
or, y = 2
Now, x = 4 y + 1 ⇒ x = 4(2) + 1 = 8 + 1 = 9, or x = 9
Hence, x = 9, y = 2 is the solution of the given system.
