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  • 07-01-2020
  • Mathematics
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How to solve -16x+2y=-2, y=8x-1 by using substitution

Respuesta :

carlosego
carlosego carlosego
  • 12-01-2020

For this case we have the following system of equations:

[tex]-16x + 2y = -2\\y = 8x-1[/tex]

To solve, we substitute the second equation in the first:

[tex]-16x + 2 (8x-1) = - 2[/tex]

We apply distributive property to the terms within parentheses:

[tex]-16x + 16x-2 = -2\\-2 = -2[/tex]

Equality is met, so for any value of x it will be fulfilled. Therefore, the system of equations has infinite solutions.

Answer:

Infinite solutions

Answer Link

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