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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:

k = 7

Step-by-step explanation:

Step 1: Write equation

-18 = 5 - (6k - 19)

Step 2: Solve for <em>k</em>

<u>Distribute negative:</u> -18 = 5 - 6k + 19

<u>Combine like terms:</u> -18 = -6k + 24

<u>Subtract 24 on both sides:</u> -42 = -6k

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Step 3: Check

<em>Plug in k to verify it's a solution.</em>

-18 = 5 - (6(7) - 19)

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Answer:

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