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solong [7]
3 years ago
10

Solve for x and y17) 2x - 3y = -1y = x-1​

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

x = 4 , y = 3

Step-by-step explanation:

Solve the following system:

{2 x - 3 y = -1 | (equation 1)

y = x - 1 | (equation 2)

Express the system in standard form:

{2 x - 3 y = -1 | (equation 1)

-x + y = -1 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x - 3 y = -1 | (equation 1)

0 x - y/2 = (-3)/2 | (equation 2)

Multiply equation 2 by -2:

{2 x - 3 y = -1 | (equation 1)

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{2 x+0 y = 8 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 4 , y = 3

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laila [671]

It's a quadratic equation in disguise. If you let y=x^{-1}, then y^2=x^{-2}, and we can rewrite the equation as

5y^2-17y+6=0

Solve for y however you like; we get y=\dfrac25 and y=3.

But we want to solve for x, so we have

y=x^{-1}=\dfrac25\implies x=\dfrac52

y=x^{-1}=3\implies x=\dfrac13

5 0
3 years ago
Paul works at a local grocery store. he worked 15 hours this week. last week he worked 2.5 times as many hours as he worked this
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So last week Paul worked 2.5x this week's hours, so he worked a total of 2.5x15= 37.5 hours last week.
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3 years ago
Make f the subject of the formula c=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%28f-32%29%7D%7B9%7D" id="TexFormula1" title="\
lara31 [8.8K]

Answer:

f=\frac{9c}{5}+32

Step-by-step explanation:

c=\frac{5\left(f-32\right)}{9}

Switch sides:

\frac{5\left(f-32\right)}{9}=c

Multiply both sides by 9:

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Divide both sides by 5:

\frac{5\left(f-32\right)}{5}=\frac{9c}{5}

f-32=\frac{9c}{5}

Add 32 to both sides:

f-32+32=\frac{9c}{5}+32

f=\frac{9c}{5}+32

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3 years ago
Five point six times four point eight
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Answer:

26.88

Step-by-step explanation:start eight times four is 32

and than eight times six is 48 than add a zero and do four times six is 24

and four times five is twenty add it up and line up the decimal points

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Answer: D

Step-by-step explanation:

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