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mash [69]
3 years ago
13

the system ax+by=c has the solution (2,-3), where dx+ey=f a, b, c, d, e, and f are non-zero real numbers. select all the systems

of equations with the same solution

Mathematics
2 answers:
exis [7]3 years ago
8 0

Answer: The system of equations which has the same solution as the given system are,

(A-D)x+(B-E)y= C-F , Dx+Ey=F

And, (A-5D)x+(B-5E)y=C-5F, Dx+Ey=F

Step-by-step explanation:

Since here, Given System is, Ax+By=C has the solution (2,-3)

Where, Dx+Ey= F

⇒ If (2,-3) is the solution of Ax+By=C

Then By the property of family of the solution,

⇒ (2,-3) must be the solution of (A-D)x+(B-E)y=C-F, (A-5D)x+(B-5E)y=C-5F.

But it is not the solution of equation, (2A+D)x+(2B+E)y=C+2F, Ax+(B+E)y=C

Therefore second and fifth options are not correct.

Also we can not go to the third option.

Thus, Only Option first and fourth are correct.



Natasha_Volkova [10]3 years ago
7 0
It is definitely A and D since the equation is dependent, the equation should be multiples of each other
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Answer:

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4 0
3 years ago
Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in
Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1} , where

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- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 8800

∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}

∴ pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95

* The monthly payment is $262.95

8 0
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saul85 [17]

Answer:

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negitive (-) and then rise (1 up) over run (two over)

good morning to you aswell <3

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