Solve this system of linear equations. separate
the x- and y-values with a comma.
7x - 3y = 37
14x + 11y = 23
enter the correct 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).

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