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zhuklara [117]
3 years ago
6

Solve the system of equations by substitution. What is the product of x and y from the solution? 2x + 3y = 12 5x − y = 13

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

2x + 3y = 12 (1st)

5x − y = 13 (2nd) ---> y = 5x - 13


Substitute y = 5x - 13 into (1st) equation


2x + 3(5x - 13) = 12

2x + 15x - 39 = 12

17x - 39 = 12

17x = 51

x = 3


substitute x = 7 into y = 5x - 13

y = 5x - 13

y = 5(3) - 13

y = 15 - 13

y = 2


Answer

solution x = 3 and y = 2



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