How do you solve the following system?: 11x -23y =-13 , -23x +17y = 811x−23y=−13,−23x+17y=8

1 Answer
Roella W.
Dec 29, 2015

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 +23x17y=8+23x
y = (8 + 23x)/17y=8+23x17
11x - 23*(8+23x)/17 = -1311x−23⋅8+23x17=−13
11x - 184 -589x = -22111x−184−589x=−221
578x = 37578x=37
x = 37/578 => 0.064x=37578⇒0.064
17y = 8 + 23*37/57817y=8+23⋅37578
y = (4624 + 851)/(578*17) =5475 / 9826 => 0.557y=4624+851578⋅17=54759826⇒0.557

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