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3 years ago

30 pts pls help

Mathematics

1 answer:

kodGreya [7K]3 years ago

8 0

Answer:

(8, 5) (Answer C)

Step-by-step explanation:

Write this system of linear equations in a (vertical) column:

4x - 3y = 17

5x + 4y = 60

Let's eliminate y through addition/subtraction:

Multiply 4x - 3y = 17 by 4, obtaining 16x - 12y = 68, and

multiply 5x + 4y = 60 by 3, obtaining 15x + 12y = 180. Then we have:

16x - 12y = 68

15x + 12y = 180

----------------------

31x = 248, and so x = 248/31 = 8.

Now find y. Substitute 8 for x in 5x + 4y = 60: 5(8) + 4y = 60, or

4y = 60 - 40 = 20.

Thus, y = 20/4, or y = 5.

The solution is (8, 5) (Answer C)

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