Iwill give brainliest to the fastest and most explained answer. the steps have to be given, and must be explained well.

solve the system of linear equations algebraically.

7/2x + 7/3y = 119/6
1/4x + 1/3y = 25/12

  (x, y) = (3, 4)

Step-by-step explanation:

The procedure usually recommended is to start by clearing fractions. Multiply the first equation by 6, the second by 12.

  21x +14y = 119

  3x +4y = 25

The first equation can be divided by 7 to get ...

  3x + 2y = 17 . . . . . . . . equation in standard form

and that can be subtracted from the second to eliminate the x-variable:

  (3x +4y) -(3x +2y) = (25) -(17)

  2y = 8 . . . . . . simplify

  y = 4 . . . . . . . .divide by 2

Using this in the third equation above, we have ...

  3x + 2(4) = 17

  3x = 9 . . . . . . . subtract 8

  x = 3 . . . . . . . . .divide by 3

The solution is (x, y) = (3, 4).

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The solution is confirmed by a graphing calculator.