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Salsk061 [2.6K]
3 years ago
14

Find the solution set for the system of equations. 9x + 5y = 28 5x + 9y = 56

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0
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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