# How do you solve the system of equations and enter the solution as an ordered pair. 4x-7y=-23 & 8x+5y=49?

Nov 8, 2017

$y = 0.16$

$x = 6.06$

#### Explanation:

$4 x - 7 y = 23$ Eqn 1
$8 x + 5 y = 49$ Eqn 2
Multiply Eqn 1 by 2

$8 x - 14 y = 46$
Subtract Eqn 2,

$- 19 y = - 3 , y = \frac{3}{19} = 0.16$

Substituting value of y in Eqn 1
$4 x - \left(\frac{21}{19}\right) = 23$
$x = \frac{24 \left(\frac{2}{19}\right)}{4} = 6.06$