# How do you solve 3x + 4y = 24 and 6x + 8y = 24?

Sep 12, 2015

Innumerable number of solutions.

#### Explanation:

$3 x + 4 y = 24$
$6 x + 8 y = 24$

The above two equations are in the form

$a x + b y = c$
This is a linear equation. Its slope is $m = - \frac{a}{b}$

Apply this formula in the above two equations.

$m = - \frac{3}{4}$

This is the slope of the two lines. The two lines coincide with one another..
Hence, the system of equations have innumerable number of solutions .