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Marysya12 [62]
3 years ago
8

Which ordered pair is the solution to the system of equations below using the elimination method

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0
{ 8, -6 } as you multiply the first equation with 1.25 to get :
5x  + 7.5y =  - 5


then, you use elemination by substraction to get rid of x:
2.5y =  - 15


try to solve for y to get y = -6, and then you use either equation 1 or 2 to find the value of x, which in both cases is equal to 8.
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Step-by-step explanation:

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What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4
KatRina [158]

You can use the fact that  a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got a^{-b} . then it can be rewritten as

a^{-b}  = \dfrac{1}{a^b}

It is because a^0 = 1 for any a except 0, and that  \dfrac{a^0}{a^b} = a^{0-b} = a^{-b}

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is \dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}

Putting m = -5 and n=3, we get:

\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}

Thus,

The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

Learn more about base and exponent(power) here:

brainly.com/question/847241

4 0
3 years ago
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Oksanka [162]

Answer:

factorisation method

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4x² - 5x + 8 = 0

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product= 4x8

32

factors=(try to look for the numbers when added they give -5 a!d when multiplied they give 32

press the numbers in the position of -5

factorise

each blacket equal it to 0

and solve for the two values of x

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Marina86 [1]

Answer:

-5/4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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