Question

How do you solve the following system?: `11x -23y =-13 , -23x +17y = 8`

Answer 1

Reorder one of the equations to express y in terms of x, and then substitute into the other equation and resolve for x. Substitute this value for x back into the first equation and evaluate for y.

Explanation:

`17y = 8 +23x`
`y = (8 + 23x)/17`
`11x - 23*(8+23x)/17 = -13`
`11x - 184 -589x = -221`
`578x = 37`
`x = 37/578 => 0.064`
`17y = 8 + 23*37/578`
`y = (4624 + 851)/(578*17) =5475 / 9826 => 0.557`