jackertakenziga jackertakenziga

29-04-2016
Mathematics

Answered

Find the solution set for the system of equations.

9x + 5y = 28

5x + 9y = 56

Verified Answer :

nathan127 nathan127

29-04-2016

First step find a common multiple, e.g. 45 and subtract
9x + 5y = 28 5
5x + 9y = 56 9

45x + 25y = 140
-(45x + 81y = 504)
-56y = -364
56y = 364
y = 6.5

Substitute into any equation
9x + 5(6.5) = 28
9x + 32.5 = 28
9x = -4.5
x = -0.5

x = -0.5 , y = 6.5

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