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vredina [299]
2 years ago
9

Nswer two questions about Systems A AA and B BB: System A AA start text, end text System B BB { − 3 x + 12 y = 15 7 x − 10 y = −

2 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ −3x+12y=15 7x−10y=−2 ​ { − x + 4 y = 5 7 x − 10 y = − 2 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ −x+4y=5 7x−10y=−2 ​ 1) How can we get System B BB from System A AA? Choose 1 answer: Choose 1 answer: (Choice A) A Replace one equation with the sum/difference of both equations (Choice B) B Replace only the left-hand side of one equation with the sum/difference of the left-hand sides of both equations (Choice C) C Replace one equation with a multiple of itself (Choice D) D Replace one equation with a multiple of the other equation
Mathematics
1 answer:
rjkz [21]2 years ago
7 0

Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

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Step-by-step explanation:

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3 years ago
What is the exact distance from (−4, −2) to (4, 6)? square root of 24. units square root of 88. units square root of 100. units
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7 0
3 years ago
Please answer this question correctly for 24 points and brainliest!!
amm1812

Answer:

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Step-by-step explanation:

Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...

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  2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan

Adding the first and third equations, we get ...

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Subtracting the second equation gives ...

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Alan earned $110.

_____

<em>Check</em>

Bob earned $40 more, so $150. Charles earned twice as much, so $220.

The total is then $110 +150 +220 = $480 . . . . as required

8 0
3 years ago
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