MATHEMATICS HIGH SCHOOL

What is the solution to this system of equations x-3y=-2 x+3y=16

Answers

Answer 1

Answer:

The solution to the system of equations x - 3y = -2 and x + 3y = 16 is x = 7 and y = 3.

Here, we have,

To solve the system of equations:

Equation 1: x - 3y = -2

Equation 2: x + 3y = 16

There are multiple methods to solve this system, such as substitution or elimination.

Here, we'll use the elimination method to eliminate the variable "x":

Add the two equations together:

(x - 3y) + (x + 3y) = -2 + 16

Simplifying, we get:

2x = 14

Divide both sides of the equation by 2:

2x/2 = 14/2

Simplifying further, we have:

x = 7

Now, substitute the value of x into either of the original equations (let's use Equation 1):

x - 3y = -2

Substituting x = 7, we get:

7 - 3y = -2

Solve for y:

Subtract 7 from both sides:

-3y = -2 - 7

-3y = -9

Divide both sides by -3:

y = -9 / -3

y = 3

Therefore, the solution to the system of equations x - 3y = -2 and x + 3y = 16 is x = 7 and y = 3.

To learn more on equation click:

brainly.com/question/14468218

#SPJ6

Answer 2

Answer: x- 3y = -2
x + 3y = 16
----------------add
2x = 14
x = 14/2
x = 7

x + 3y = 16
7 + 3y = 16
3y = 16 - 7
3y = 9
y = 9/3
y = 3

solution is : (7,3)

Related Questions

If the average of three numbers is V if one number is Z and another is y what is the remaining number ?
What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)
What is the y-intercept of y=-2x+6?
Given the triangle below, which of the following equations correctly representsthe relationship between a, b, and c?Triangle not drawn to scale A cz B az 2abcos (90.)b a2 c2 2abcos (90.)
A rectangular playground has an area of 3,392 square meters. if the width of the rectangle is 32 meters.find the lenth

If each light fixture on a job requires 4 lamps and each room requires 16 fixtures, how many lamps will be required for 6 rooms?

Answers

Answer:

384 lamps

Step-by-step explanation:

This is simply a multiplication problem. From the question, we know that each fixture needs 4 lamps with a single room needing 16 fixtures.

The number of lamps required by each room is thus 16 * 4 = 64 lamps

Now, the total number of lamps required by 6 rooms is thus 64 * 6 = 384 lamps

Final answer:

To find the total number of lamps required for 6 rooms, multiply the number of fixtures per room by the number of rooms, then multiply the result by the number of lamps per fixture.

Explanation:

To find the total number of lamps required for 6 rooms, we need to first determine the number of fixtures in 6 rooms. Since each room requires 16 fixtures, the total number of fixtures in 6 rooms would be 16 x 6 = 96 fixtures.

Each fixture requires 4 lamps, so to find the total number of lamps required for 96 fixtures, we multiply 96 x 4 = 384 lamps.

Therefore, 384 lamps will be required for 6 rooms.

Learn more about Total number of lamps required here:

brainly.com/question/37010960

#SPJ3

QuestionFind the product. Write your answer as a fraction in simplest form.
$-\frac{4}{9}\left(-\frac{7}{9}\right)=$

Answers

Answer:

28/81

Step-by-step explanation:

As you know, the product of fractions is the product of their numerators, divided by the product of their denominators. As with any product, the sign will be positive if there are an even number of minus signs among the factors.

(-4/9)(-7/9) = (4·7)/(9·9) = 28/81

Im so confused, how do i get the variance with just the standard deviation

Answers

Answer:

To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.

hope this helps!

1, ½, 0, ...; 16th term

Answers

Answer:

a₁₆ = - $(13)/(2)$

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

$(1)/(2)$ - 1 = - $(1)/(2)$

0 - $(1)/(2)$ = - $(1)/(2)$

this indicates the sequence is arithmetic with nth term formula

$a_(n)$ = a₁ + d(n - 1)

where a₁ is the first term , d the common difference , n the term number

here a₁ = 1 , d = - $(1)/(2)$ , n = 16 , then

a₁₆ = 1 + (- $(1)/(2)$ × 15 ) = 1 + (- $(15)/(2)$ ) = $(2)/(2)$ - $(15)/(2)$ = - $(13)/(2)$

Please Help I Have No Idea What They Talking Bout Which level does macroeconomics focus on?
A. personal
B. business
C. government

Answers

Macroeconomics focuses on C) government level.
Macroeconomics is a branch of economics dealing with the performance, structure, behavior, and decision-making of an economy as a whole rather than individual markets.

Answer:

C. government

Step-by-step explanation:

Which of the following equations is not exponential?y = 1^x
y = (1/2)^x
y = -2^x

Answers

The equations is notexponential is y = $1^x$ .

What is Exponential function?

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

The standardform of exponential form is

f(x) = $a^x$