How many solutions does this linear system have? y = –6x+2 –12x – 2y = –4

Question

asked Mar 20, 2020 199k views

2 Answers

Swv · Answer 1 · 2020-03-24T15:21:23+0000

For this case we have the following system of equations:

$y = -6x + 2\\-12x-2y = -4$

We clear the value of "y" from the second equation:

$-2y = -4 + 12x\\y = \frac {-4} {- 2} + \frac {12} {- 2} x\\y = 2-6x$

We match the equations:

$-6x + 2 = 2-6x\\-6x + 6x = 2-2\\0 = 0$

Equality is fulfilled! For any value of "x" is always met.

Thus, the system has infinite solutions.

Answer:

Infinite solutions