Question

Identify any solutions to the system given below. 2x + y = 5 3y = 15 - 6x

Answer 1

For this case we must solve the following system of equations:

$2x + y = 5\\3y = 15-6x$

We clear "y" from the second equation:

$y = \frac {15} {3} - \frac {6x} {3}\\y = 5-2x$

We substitute in the first equation:

$2x + (5-2x) = 5\\2x + 5-2x = 5\\5 = 5$

Equality is fulfilled, so for any value of x equality will be fulfilled.

So, the system has infinite solutions.

Answer:

Infinite solutions