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kirill [66]
2 years ago
12

Solve the system of equations using the elimination method. 1.Solve {x + 3y = -15

Mathematics
1 answer:
shutvik [7]2 years ago
5 0

An equation is formed of two equal expressions. The solution is (-9,-2).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the equation x + 3y = -15 and -3x + 2y = 23,

Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.

x + 3y = -15

3x + 9y = -45

Step2- After you multiply, add or subtract the two equations.

3x + 9y -3x + 2y = -45 + 23

Step 3- Then solve for the variables that is left.

11y = -22

y = -2

Step4- Substitute the value of y in any one of equations to solve for x.

x + 3(-2) = -15

x - 6 = -15

x = -9

Hence, The solution is (-9,-2).

Learn more about Equation:

brainly.com/question/2263981

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Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and the sample size.
pentagon [3]

Answer:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the following conditions

Where \mu=25 and \sigma=7

And for this case we select a sample size of n= 15. and we want to know the distribution for the sample mean \bar X. We can assume that the distribution for \bar X is approximately normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Asuming that the distribution for X is also approximately normal. So then the parameters are:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

8 0
3 years ago
Malia has saved $18.50 to buy a hamster cage that costs $30. Which equation can she use to find s, the additional amount she nee
Oksi-84 [34.3K]
They give you the whole entire worth of the cage and it 30. so I believe it is s + 18.50= 30
Worked out
s + 18.50= 30
-18.50. 18.50
s = 11.50
5 0
4 years ago
Read 2 more answers
9 hundreds + 1 ten + 8 ones is the same as 8 hundreds + ? Tens + 8 ones
almond37 [142]
The question make would be 111
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4 years ago
Using the numbers 1 to 9 (inclusive), without repeating any numbers, fill in the boxes to write two equivalent equations. The to
vovikov84 [41]

1The two equivalent equations will be

1. y=\dfrac{-6}{4}x+10

2. 3x+2y=5

<h3>What is linear equation?</h3>

An equation between two variables that gives a straight line when plotted on a graph.

The required two equivalent equations are

y=\dfrac{-6}{4}x+10

3x+2y=5

The above equation has no repeating numbers and fulfill the criteria.

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8 0
3 years ago
When finding slope, change in the x-value is considered the A. rise B reciprocal C. run D. angle
olchik [2.2K]

Answer:

Step-by-step explanation:

when finding the slope, change in the x value is considered the RUN

slope = (y2 - y1) / (x2 - x1) = rise / run

7 0
3 years ago
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