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1 year ago

What is the simultanous equation of 2x+y=–5 3x+2y=–8 equation Using the Substitution method

Mathematics

1 answer:

Artyom0805 [142]1 year ago

8 0

Answer: Equation $form:$ $x=-2,y=-1$

$Point$ $form:$ $(-2, -1)$

Step-by-step explanation:

$y=-\frac{3x}{2} -4$

$y=-2x-5$

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

$Solve$ $by$ $Substitution$ ---> $2x+y=-5 3x+2y=-8$

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2 years ago

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A total of $2100 for a house painting job is to be divided between two painters in the ratio of 3 to 4. How much does each paint

kakasveta [241]

$\bf 2100\qquad 3:4\qquad \cfrac{3}{4}\implies \cfrac{3\cdot \frac{2100}{3+4}}{4\cdot \frac{2100}{3+4}}\implies \cfrac{3\cdot 300}{4\cdot 300}\implies \cfrac{900}{1200}$

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2 years ago

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Natali [406]

Please don't ask 2 questions in 1 question

remember that percent is parts out of 100 so x%=x/100
basically just remove the percent sign and move the decimal place 2 places to the left to convert to fraction

the first one
20 dollars
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15% tip
it depends if you want to tip on the total with tax or without tax
it is better to top on the without-tax value since tax comes from you so
find 4.75% of 20 and add that to 15% of 20 then add that to 20 to get the proper value

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1. 20+(20 times 4.75%)+(20 times 15%)=23.95
2. ([(20 times 104.75%)] times 115%)=24.09
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total cost of a spa treatment of 42 with 6% tax and 20% tip
so you could again do two things:
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2. find the tip and add that to the tax of only 42

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2 years ago

4 2/9 × 6 answer with a mixed number in simplest form. :) Thanks!!!

astra-53 [7]

4 2/9=8/9
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2 years ago

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

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2 years ago

What is the simultanous equation of 2x+y=–5 3x+2y=–8 equation Using the Substitution method​

What is the simultanous equation of 2x+y=–5 3x+2y=–8 equation Using the Substitution method