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abruzzese [7]
3 years ago
14

How to solve 11x-13y=89 and -11x+13y=107 by substitution

Mathematics
1 answer:
enyata [817]3 years ago
8 0
\left\{\begin{array}{ccc}11x-13y=89&/+13y\\-11x+13y=107&/\cdot(-1)\end{array}\right\\\\\left\{\begin{array}{ccc}11x=13y+89\\11x-13y=-107\end{array}\right\\\\substitute:\\\\(13y+89)-13y=107\\13y-13y+89=107\\89=107-FLASE\\\\Answer:No\ solution\ (x;\ y\in\O)
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The number of employees at a company is decreasing by 9.5% yearly. Currently there are 12,640 employees working at the company.
pychu [463]

Answer:

12546

Step-by-step explanation:

9.5% = 0.95 = 95

12,640 - 95 = 12546

5 0
3 years ago
A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.
snow_lady [41]

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

y= \frac{4}{3}x+b

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0 ..

7 0
3 years ago
Two quantities are related, as shown in the table:
kompoz [17]

is Y= 3 over 2 x because y add 3 and x add 2

3 0
3 years ago
a maximum speed, and airplane travels 2460 miles against the wind in 6 hours. flying with the wind, the plane can travel the sam
Dmitry [639]
I'm assuming you want to find the wind speed.


the ground speed against the wind is 410.
2460 / 6 = 410

the ground speed against the wind is 492.
2460 / 5 = 592


the difference is 82 mph, but you need to divide by 2 because speed is being added in one direction and subtracted in the other.

82 / 2 = 41

your final answer is 41 mph.
7 0
3 years ago
Read 2 more answers
Answer: d <br> Explanation: Hope this helps pzzzz marke brainliest
zhenek [66]
Youre answer is D, you’re welcome
3 0
3 years ago
Read 2 more answers
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