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Vlada [557]
3 years ago
8

Hey i need help with system of equations. i uploaded a doxs file you can onpen it in google docs

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>

Step-by-step explanation:

PART A:

The first equation is x + y = 7\\y = 7 - x  .............(a)

The second equation is 3x - 2y = 1\\2y = 3x - 1

Putting the value of y from (a) in the above equation, we get 2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15

From (a) we get y = 7 - x = 7 - 15 = -8

PART B:

Here the system of equations are -x + 4y = 17........(a) and 3x - 5y = -30.........(b)

From (a) we get, x = 4y - 17

Putting the above value of x in (b) we get, 3x - 5y = -30\\3(4y - 17) - 5y = -30\\12y - 51 - 5y = -30\\7y = 21\\y = 3

Hence, x = 4y - 17 = 12 - 17 = -5

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