How do you solve the following system: 4x-5y= -1, 5x+2y=12 ?

Apr 12, 2017

Answer:

Combine these two equations and get the solution.

Explanation:

When you multiply 2 (the first) and 5 (the second), you will get:
$8 x - 10 y = - 2$
$25 x + 10 y = 60$

Combine the above equations:
$8 x + 25 x = 58$
$x = \frac{58}{33}$

Put this value in the first equation
$\left(\frac{4 \cdot 58}{33}\right) - 5 y = - 1$
$- 5 y = \frac{- 33 - 232}{33}$
$y = - \frac{265}{165}$