Solve by the substitution method. 8x + 9y=56 -9x + y = 26

Mathematics

1 answer:

Nikolay [14]2 years ago

6 0

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26

---------------------------------------------------------------------------------

-9x + y = 26

+9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56 <-- substitute for y from above

8x + 81x + 234 = 56

89x + 234 = 56

- 234 = - 234

89x = - 178

x = -2 <--- we got the x value!!

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-9x + y = 26

-9 (-2) + y = 26 <-- substitute for x from above

18 + y = 26

- 18 = - 18

y = 8 <-- we got the y value!!

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