Question

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.​

Answer 1

The solution for the given system of equations is ( 4,-3).

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).