8x-5y=15
6x+4y=43
solve the system by any method​

Answers

Answer 1

Answer:

[tex]x=\frac{275}{62}[/tex] , [tex]y=\frac{127}{31}[/tex]

Step-by-step explanation:

I will use the elimination method.

We want to make the X's the same:

[tex]24x-15y=45[/tex]

[tex]24x+16y=172[/tex]

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

[tex]31y=127[/tex]

So:

[tex]y=\frac{127}{31}[/tex]

Substitute y into either equation 1 or 2:

(I chose equation 1)

[tex]8x-5(\frac{127}{31})=15[/tex]

[tex]8x=5(\frac{127}{31}) + 15[/tex]

[tex]x=\frac{5(\frac{127}{31})}{8}[/tex]

So:

[tex]x=\frac{275}{62}[/tex]


Related Questions

Evaluate: 100−20.2×4.5.
i need this for imagen math

Answers

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

Which algebraic expression represents this word description?
The product of nine and the difference between five and a number

Answers

Answer: 9(5-n)

Step-by-step explanation:

The product of nine and the difference between five and a number can be represented as 9(5-n)

Answer:      9(5-x)

Step-by-step explanation:

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!

Answers

Answer:

3200 meters

Step-by-step explanation:

because it is

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

The number of laps around the track to run for 3.1 miles is 12.5.

What is unit conversion?

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

We have,

The track length = 400 meters

One lap = 400 meters.

We have,

3.1 miles

1 foot = 0.3048 meter ____ (1)

We know that,

[ 1 mile = 5280 foot ]

So,

3.1 miles = 3.1 x 5280 foot

3.1 miles = 16368 foot

From (1),

3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters

Now,

Since 400 meters is one slap.

The number of laps in 4988.9664:

Divide 4988.9664 by 400

= 4988.9664 / 400

= 12.47

Rounding to the nearest tenth.

= 12.5

Thus the number of laps around the track to run for 3.1 miles is 12.5.

Learn more about unit conversion here:

https://brainly.com/question/11543684

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Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?

Answers

Answer:

A lot

Step-by-step explanation:

Does this girl not have a credit card

The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Number of dimes = d

And number of nickels = n.

Total number of coins = 10.

Also, the value of coins = $0.70.

According to given conditions,

Since, Total number of coins is 10,

The equation can be written as,

d + n = 10

Total value of coins are = 0.70

0.1d + 0.05n = 0.70

1/10 d / 5n / 100 = 0.70

10 d + 50 n = 70

d + 5 n = 7

The required pair of equations are  d + n = 10 and d + 5 n = 7.

To know more about Equation on:

brainly.com/question/187506

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i need help again please n thank you :)

Answers

Answer:

A solid line.

Step-by-step explanation:

The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.

Step-by-step explanation:

the answer is Dashed Line

Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?

Answers

32 / 4 = 8

When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.

32 / 4 = 8

So, Kelly has visited 8 states.

HELP- I NEED LOTS OF HELP

Answers

Answer:

|279|

Step-by-step explanation:

so when ur doing absolute value you js need distance so lets work with the problem, if ur 279 feet below water u would need to get to zero feet below sea level (ground lvl) to do so how many feet towards ground lvl would u go? (279 clearly) so the distance from how many feet under u are to the ground lvl is ur absolute value.

Tbh in school they over complicate it if u need an absolute number from a negative number like -279 (as it is in the problem) you would js make it a positive (if its positive 279 u js say the absolute value is 279)

(also the absolute value is the distance between the number and zero so yh u can put that)

30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?

Answers

Answer:

30 parks

Step-by-step explanation:

9÷0.3=30 parks

Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?

Answers

Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500

The profit made from each unit sold can be found as:

= Market price - Average cost

= 14 - 9

= $5

The total profit would therefore be:

= Profit per unit x Number of units sold

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

Find out more about profit per unit at https://brainly.com/question/25531124.

..................................

Answers

Answer: 35 dots

Step-by-step explanation:

Michaels test scores for this semester were 83,80,91,74,66,99,87,72,95,98. What was the median of his scores

Answers

Answer:

85

Step-by-step explanation:

Write the numbers in order

66, 72, 74, 80, 83, 87, 91, 95, 98, 99

Find the middle number

83 and 87 are in the middle, so find the mean of them. 83+87= 170

170/2 = 85.

Answer:

I added a little extra in case! Mark me brainleast

Step-by-step explanation:

Mean          84.5

Median           85

Mode         83, 80, 91, 74, 66, 99, 87, 72, 95, 98.

Range         33

Minimum         66

Maximum 99

What is the domain and range of this graph

Answers

Man just pay attention in school

Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time. ​

Answers

Answer:

12 km

Step-by-step explanation:

20 minutes = 20 * 60 = 1200 second

distance = velocity * time

car 1 = 1200 * 20 = 24000 m = 24km

car 2= 1200 * 10 = 12000 m = 12km

so distance between them after 20 minutes is 24 -12 = 12 km

Hey ya'll I need help on this question

Answers

Answer:

285.2

Step-by-step explanation:

2852.1/10 = 285.21

but rounded to the nearest tenth is 285.2

Answer:

285.2

Step-by-step explanation:

After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.

PLEASE HELP GIVING POINTS

Answers

the answer would be -13/3
Answer: A) 13/3

Explanation:

let f(x)=5x+5 find f(-1)

I need your help with this. please help me​

Answers

[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]

Solve 2x2 + 20x + 8 = 0 by completing the square.

a. x = –5 + √17, x = –5 √–17

b. x = –5 + √21, x = –5 –√21

c. x = 5 + √21, x = 5 –√21

d. x = 5 + √17, x = 5 –√17

Answers

Answer:

Answer B:

Step-by-step explanation:

just took the test)))):

the answer: B

ok done. Thank to me :>

if p =5 q =3 find the value of 9p2²- 5q² ​

Answers

Answer:

Answer is in the attached file.

PLS help its the last question

Answers

Answer:

D

Step-by-step explanation:

help asappppppppppppp​

Answers

Answer:

113 degrees

Step-by-step explanation:

2 and 7 are equal, so 0 and 2 will equal the same as 3 and 7, and both equal 180... Do 180-67=113

Which table represents a linear function?

Answers

Answer:

it's the last one in the lower right corner.

What is the slope of a line that is parallel
and perpendicular to each line?

Answers

Answer:

m1.m2 = -1

Step-by-step explanation:

In the case of the parallel line, the slope of the two lines is parallel to each other.

Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-

Answers

[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]

4( 3 - 3 ) + 5 (3) -(3)2
distribute the 4 into the 3’s
multiply 5 by 3 as well as -3 and 2
add them all

The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there

Answers

We know that the ratio is 6:9 green to blue balloons. We can divide 1620 by 9. This gives us 180. Next, we multiply 6 * 180. This gives us 1080.

There are 1,080 green balloons.

Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).

Answers

[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]

[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]

[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]

[tex]\\ \sf\longmapsto f(-2)=-6[/tex]

.#2

[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]

[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]

[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]

.Now

[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]

[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2h[/tex]

1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?

Answers

she saved 50$ but saved 20%

She saved 20%.

The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.

63 divided by 16,128 plss help it’s due wensday!!!!

Answers

Answer:

256 , or 0.00390625

Step-by-step explanation:

Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?

Answers

He should use 48 tablespoons of flour in his recipe.

Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?

Answers

Billy has 3,618 cards
201 * 18 = 3,618
18 card per package
201 packages
3,618 cards all together

Solve.

x−8.2=−9.09

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

Answer:

x = - 0.89

Step-by-step explanation:

x - 8.2 = - 9.09

x = - 9.09 + 8.2

x = - 0.89

Answer:

-0.89

Step-by-step explanation:

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