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irina [24]
4 years ago
15

How do you substitute 5x+4y=0 , x-y=9

Mathematics
1 answer:
-BARSIC- [3]4 years ago
5 0
Steps:
1.Change x-y=9 into slope-intercept form.
Subtract x on both sides
-y=-x + 9
Divide everything by -1
Y= x-9
2. Now substitute the y in 5x + 4y=0 for x-9
5x + 4(x-9)= 0
5x + 4x-36=0
3. Now combine like terms
9x-36=0
4. Add 36 on both sides
9x= 36
5. Divide each side by 9
6. X= 4
7. Now substitute the x in x-y=9 for 4
4-y=9
8. Subtract 4 on both sides
-y= 5
9. Divide everything by -1
10. Y= -5
11. Your answer is x= 4 and Y= -5 or (4,-5)
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Answer:

First city: $5,500

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Step-by-step explanation:

Let's define x as the hotel price in the first city and y the hotel price in the second city.  We can start with this equation:

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Then we can say

0.065x + 0.045y = 582.50  (the sum of the tax amounts were $582.50)

We place the value of y from the first equation in the second equation:

0.065x + 0.045 (x - 500) = 582.50

0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...

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The cost of the first hotel was $5,500

Thus, the cost of the second hotel was $5,000 (x - 500)

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divide:

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Step-by-step explanation:

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