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4 years ago

Solve the following system of equations. 3x+4y=12

Mathematics

1 answer:

Lesechka [4]4 years ago

6 0

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12 ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

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Answer:

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2 years ago

Rob owns 1/8 of the stock in a local bread company. His sister Talia owns half as much stock as Rob. What part of the stock is o

Nana76 [90]

Answer:

$\frac{13}{16}$

Step-by-step explanation:

1/2 of 1/8 is the same thing as 1/2*1/8.

So multiply it out:

$\frac{1}{2}*\frac{1}{8}=\frac{1}{16}$ This is the amount of stock that Talia uses.

Now covert:

$\frac{1}{8}=\frac{2}{16}$ This is how much Rob owns.

Now add:

$\frac{2}{16}+\frac{1}{16}=\frac{3}{16}$

Since you cannot simplify, the answer would be

$\frac{3}{16}$ .

Now subtract $\frac{3}{16}$ from the possible value.

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Hope it Helps!

7 0

4 years ago

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During the week of a convention, there were 608 occupied hotel rooms and 342 unoccupied hotel rooms in Lindsey's city. What perc

bagirrra123 [75]

Answer:

64%

Step-by-step explanation:

Given

Occupied = 608

UnOccupied = 342

The total number of room is the sum of these 2. So

Total Room = 608 + 342 = 950 rooms

To find percentage of rooms that were occupied, we have to divide the occupied number of rooms by the total number of rooms. Then we have to multiply that answer by 100 to get the "percentage". let's do this:

$\frac{608}{950}=0.64$

Then

$0.64*100=64$

So, 64% of the rooms were occupied.

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3 years ago

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4 years ago

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A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x. What is the function

svetlana [45]

Answer:

The function input is -20 when the output is 25

Step-by-step explanation:

we have

$y=-75-5x$

where

y is the dependent variable or output

x is the independent variable or input

If the output is 25

then

y=25

substitute

$25=-75-5x$

Solve for the function input is the same that solve for x

Isolate the variable x

Adds 5x both sides

$25+5x=-75-5x+5x$

$25+5x=-75$

subtract 25 both sides

$25+5x-25=-75-25$

$5x=-100$

Divide by 5 both sides

$x=-20$

therefore

The function input is -20 when the output is 25

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3 years ago

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