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Rashid [163]
2 years ago
10

How do you solve this URGENT (50pts)

Mathematics
2 answers:
Aliun [14]2 years ago
7 0

Explanation:

x + 3y = 2

<u>Converting it to slope intercept form</u>:

y = mx + b  [where m is slope, b is y-intercept]

<u>Make y the subject</u>:

\sf \rightarrow  3y = 2 - x

\sf \rightarrow 3y = -x + 2

\sf \rightarrow y = -\dfrac{x}{3} + \dfrac{2}{3}

\sf \rightarrow y = -\dfrac{1}{3} x+ \dfrac{2}{3}

<u>which reveals slope</u>:

\star \   slope: \sf  - \dfrac{1}{3}

NikAS [45]2 years ago
5 0

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 3y = 2 ( subtract x from both sides )

3y = - x + 2 ( divide all terms by 3 )

y = - \frac{1}{3} x + \frac{2}{3} ← in slope- intercept form

with slope m = - \frac{1}{3}

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the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul
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Given:

The tens digit of a two digit number is 5 greater the units digit.

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To find:

The original number.

Solution:

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n=(x+5)\times 10+x\times 1

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Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

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If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

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Therefore, the original number is 72.

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Answer:

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Step-by-step explanation:

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