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2 votes
16x-2y = -8
y = 8x - 3

User Titicaca
by
5.2k points

1 Answer

2 votes

Answer:

no solutions

Explanation:

You want to examine solutions for the system of equations ...

  • 16x -2y = -8
  • y = 8x -3

Solution

Writing each of these in standard form, we have ...

8x -y = -4 . . . . . divide the first equation by 2

8x -y = 3 . . . . . . add 3-y to the second equation

These equations describe parallel lines. Any (x, y) solution to the first equation cannot be a solution to the second equation, and vice versa. There is no point of intersection, so this system of equations has no solution.

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Additional comment

If you subtract the first equation from the second, you get ...

0 = 7 . . . . . false

No values of x and y will make this true.

16x-2y = -8 y = 8x - 3-example-1
User Fritz Lim
by
5.2k points