Question

How many solutions does this linear system have? y

=
–6x+2
–12x – 2y
=
–4

Answer 1

infinitely many solutions

Answer 2

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