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3 years ago

solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

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c. 13 weeks

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2 years ago

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The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all

katovenus [111]

Answer:

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Step-by-step explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

12% ⇔ $9000

then

100% ⇔x

the ratio is

$\frac{12}{9000}=\frac{100}{x}\\$

Now, solve for x

$\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\$

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is $\frac{75000}{price\ of\ the\ car} \\$

$\frac{75000}{price\ of\ the\ car} \\$

now, price of the car* number of the car = 75000

where

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Have a nice day

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