All categories

3 years ago

Solve this system of linear equations. Separate

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

8 0

Answer:

x = -7, y = -1

Step-by-step explanation:

Solve the following system:

{3 y - 2 x = 11 | (equation 1)

2 y + 3 x = -23 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = -23 | (equation 1)

-(2 x) + 3 y = 11 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + 2 y = -23 | (equation 1)

0 x+(13 y)/3 = -13/3 | (equation 2)

Multiply equation 2 by 3/13:

{3 x + 2 y = -23 | (equation 1)

0 x+y = -1 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = -21 | (equation 1)

0 x+y = -1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -7 | (equation 1)

0 x+y = -1 | (equation 2)

Collect results:

Answer: x = -7, y = -1

You might be interested in

2. Define any variables and tell the slope and y-intercept of the situation. Then, write an equation to represent

Otrada [13]

Answer:

x=number of hours

c(x)= 25x+75

y-intercept= (0, 75)

Equation= y=25x+75

Slope= 25

Step-by-step explanation:

75 would be the y intercept(constant) because that's the initial charge for a call.

25 would be the coefficient for x because the hour you spend on the call varies.

The slope is how steep the line is, in this case it is 25.

x is the number of hours because that is the time that varies.

3 0

3 years ago

Evaluate the expression when a= 4, b= - 2, and c= 7 - -> 5a - 9 (b - c)

ollegr [7]

Answer:

$65$

Step-by-step explanation:

Given the following question:

$5a-9(b-c)$
a = 4
b = 2
c = 7

In order to find the answer, we need to substitute the variables with the numbers given, and then solve using PEMDAS.

$5\times4-9\times(2-7)$
$2-7=-5$
$5\times4-9\times-5$
$5\times4=20$
$20-9\times-5$
$9\times-5=-45$
$20--45$
$20+45=65$
$=65$

Hope this helps.

8 0

3 years ago

The population of bacteria in a certain culture can be modeled by the function P(t)=10000(1.03)^t. Is the population of bacteria

ch4aika [34]

Answer:

The population of bacteria is increasing.

Step-by-step explanation:

The function modelling the population of bacteria in the given culture is an exponential function; We have a base 1.03 and an exponent t. An exponential function is said to be increasing if the base is strictly greater than 1, this implies that the population of the bacteria is increasing as t increases from 0 to infinity.