# What kind of solutions does 3x-4y=13 and y=-3x-7 have?

May 10, 2018

The kind of solutions to this equations is that they are unique.
You can either solve it using Gaussian elimination or using substitution method.

#### Explanation:

$3 x - 4 \left(- 3 x - 7\right) = 13$
$3 x + 12 x + 28 = 13$
$15 x = - 15$
$x = - 1$
Hence,
$y = - 3 \left(- 1\right) - 7$
$y = - 4$
Substitute the above values for x,y in the equations above to confirm ur answer.