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bella354
18.06.2020 •
Mathematics
Aya is making the table below to show equivalent numbers of kilometers and meters. Which pair of numbers would complete Aya's table?
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Ответ:
(- 19, 55 )
Step-by-step explanation:
Given the 2 equations
y = - 3x - 2 → (1)
5x + 2y = 15 → (2)
Substitute y = - 3x - 2 into (2)
5x + 2(- 3x - 2) = 15 ← distribute and simplify left side
5x - 6x - 4 = 15
- x - 4 = 15 ( add 4 to both sides )
- x = 19 ( multiply both sides by - 1 )
x = - 19
Substitute x = - 19 into (1) for corresponding value of y
y = - 3(- 19) - 2 = 57 - 2 = 55
Solution is (- 19, 55 )