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3 years ago

Solve the system using substitution.

Mathematics

1 answer:

miv72 [106K]3 years ago

6 0

Substitution method is one of the ways to solve this system.

-5x+y=4 and 4x-4y=16.

First we will divide the second equation with number 4 and get

x-y=4 => x=y+4 than we will replace x in the first equation

-5(y+4)+y=4 => -5y-20+y=4 => -4y=4+20 => -4y=24 => y=-6

x-(-6))=4 => x+6=4 => x=4-6=-2 (x,y)=(-2,-6)

Good luck!!!

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Explain how you would find the slope of the line y = 4.

Slav-nsk [51]

Answer:

The slope is 0.

Step-by-step explanation:

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3 years ago

X-1/x-2+x+3/x-4=2/(x-2).(4-x)

Varvara68 [4.7K]

The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

According to the statement

we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.

So, The given expression are:

$\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}$

And we have to prove the answer.

So, For this

$\frac{x-1}{x-2} +\frac{x+3}{x-4}$

$\frac{({x-1}) ({x-4}) +({x+3})({x-2})} {(x-2) (x-4)}$

Then the equation become

$\frac{x^{2} -4x -x +4 + x^{2} -2x + 3x -6 }{(x-2) (x-4)}$

Now solve it then

$2x^{2} - 4x -2 / (x-2) (x-4)$

Now take 2 common from answer then equation become

$\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}$

Hence proved.

So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

Learn more about equations here

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1 year ago

If h(x) is the inverse of f(x), what is the value of h(f(x))?<br> оо<br> 0 1<br> ООО<br> o f(x)

mart [117]

Answer:

Step-by-step explanation:

If h(x) is the inverse of f(x) them h(f(x)) = x.

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3 years ago

What is the median of this data set 17,42,53,97,102,82

Zina [86]

67.5 ... Hope I helped! :D brainliest?

6 0

3 years ago

Read 2 more answers

Help me fjfjsncjdhdhfh

Deffense [45]

Step-by-step explanation:

$=> 2 {x}^{2} + \frac{7}{2}x + \frac{3}{4} = 0$

$=> \frac{8 {x}^{2} + 14x + 3}{4} = 0$

$=> 8 {x}^{2} + 14x + 3 = 0$

$=> 8 {x}^{2} + 12x + 2x + 3 = 0$

$=> 4x(2x + 3) + 1(2x + 3) = 0$

$= > (2x + 3)(4x + 1) = 0$

$= > x = - \frac{3}{2} or \frac{ - 1}{4}$

option C

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3 years ago