Answer:
The solution for the given system of equations is ( 4,-3).
Step-by-step explanation:
Here, the given set of equations is:
7 x - 3 y = 37 .... (1)
14 x + 11 y = 23 .... (2)
Now, we solve this equation by ELIMINATION METHOD,
Multiply the first given equation with ( -2), we get:
(-2) [7 x - 3 y = 37 ] ⇒ -14 x + 6 y = -74 .... (3)
Adding equation (2) and (3), we get:
14 x + 11 y + -14 x + 6 y = 23 -74
or, 17 y = - 51
or, y = -51/17 = 3
⇒ y = -3
Now, out the value of y in the given second equation,we get:
14 x + 11 (-3) = 23
or, 14 x = 23 + 33 = 56
or, x = 56/14 = 4
⇒ x = 4
Hence, the solution for the given system of equations is ( 4,-3).
