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Minchanka [31]
3 years ago
7

Solve by substitution 6x-4y=18, -x-6y=7

Mathematics
1 answer:
velikii [3]3 years ago
6 0

Answer:

(2,-1.5)

Step-by-step explanation:

6x-4y=18

-x-6y=7

Switch the second equation from standard form to y=mx+b form

-x-6y=7→  -x=7+6y → multiply both sides by -1→ x=-7-6y

Substitute all of the things that equal x into the other equation into x

6x-4y=18→ 6(-7-6y)-4y=18

Simplify

-42-36y-4y=18

Bring - 42 to the other side and add like terms

-42-36y-4y=18→ -40y= 60

Solve for y

y=-1.5

Choose an equation and plug y in it.

-x-6(-1.5)=7

-x+9=7

-x=-2

Multiply both sides by -1

x=2

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Aubree practices the piano 1197 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Norma-Jean [14]

Answer:

57

Step-by-step explanation:

We need to create a ratio. so Aubree practices the piano for 1197 min: in 3 weeks. So for 1 week, we have to divide 1197 by 3, so 1197/=399. And so we know that 1 week is 7 days, just divide 399 by 7! 399/7=57. The rate that she practiced per day is 57 minutes. So one last final step just to check if this answer is correct is to divide 57 by 60, and that is 0.95. 0.95 out of 1.00 minutes per day is 95/100. Cross multiply with x/60, and you will get your answer, which is 57.

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2 years ago
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Step-by-step explanation:

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2 years ago
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Convert 8 7/9 yard into in
ZanzabumX [31]

Answer:

316 in.

Step-by-step explanation:

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3 years ago
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Express 2x2 – 3x – 5 as the product of two binomial factors.
sergeinik [125]

Answer:

<h3>(2x-5) (x+1)</h3>

Step-by-step explanation:

Express 2x2 – 3x – 5 as the product of two binomial factors.

factorize the given expression

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2x^2 – 5x+2x – 5

x(2x-5)+ 1 (2x-5)

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Hence the expression as the product of two binomial is (2x-5) (x+1)

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The perimeter is 41.7

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Adding the side lengths, we have
14+7.8+19.9=41.7
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3 years ago
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