4x + 3y = 17
5x – 2y = 4

Answers

Answer 1

Answer:

I solved with substitution since you weren't specific on how to answer it but I got ( 2,3 )

[x  =  2  , y  =  3]

Answer 2

Answer:

x=2

y=3

Step-by-step explanation:

[tex]\left \{{4x+3y=17{} \atop{5x-2y=4}} \right.[/tex]

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

4x+3y=17,5x−2y=4

To make 4x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 4.

5×4x+5×3y=5×17,4×5x+4(−2)y=4×4

Simplify.

20x+15y=85,20x−8y=16

Subtract 20x−8y=16 from 20x+15y=85 by subtracting like terms on each side of the equal sign.

20x−20x+15y+8y=85−16

Add 20x to −20x. Terms 20x and −20x cancel out, leaving an equation with only one variable that can be solved.

15y+8y=85−16

Add 15y to 8y.

23y=85−16

Add 85 to −16.

23y=69

Divide both sides by 23.

y=3

Substitute 3 for y in 5x−2y=4. Because the resulting equation contains only one variable, you can solve for x directly.

5x−2×3=4

Multiply −2 times 3.

5x−6=4

Add 6 to both sides of the equation.

5x=10

Divide both sides by 5.

x=2

The system is now solved.

x=2,y=3


Related Questions

The diameter of a circle is 18 m. Find its circumference in terms of \piπ

Answers

Answer:

18π

Step-by-step explanation:

On an Idaho map, 1" represents 20 miles. If the distance on the map between two towns on the river measures 2 5/8" how many miles apart are the towns?

ANSWERS:

A. 42 1/2 miles
B. 45 miles
C. 47 5/8 miles
D. 52 1/2 miles
E. 40 miles

Answers

Answer: D

Step-by-step explanation:

20 x 2= 40

5/8 of 20 is 12.5

40+12.5= 52.5 or 52 1/2

Sorry I’m terrible at explaining

to multiply two powers with the same base, the exponents

Answers

Answer:

Are added together

Step-by-step explanation:

Multiplying two powers with the same base is bascially adding the exponents


At what point do the lines y = 6x – 18 and
y=8x – 32 intersect?

Answers

Answer:

(7, 24)

Step-by-step explanation:

Solve the system:

6x - 18 = 8x - 32

2x = 14

x = 7

y = 6(7) - 18

y = 24

in the pythagorean theorem what does the b stand for

Answers

b is the base of the horizontal line
It’s the second longest line/side of a right angle triangle which is the vertical line. And if you trying to find b its b= square root c^2- a^2

hey i need help can u guys help me know whats the differance of 85.23 & 2.675

Answers

Answer:

82.555

Step-by-step explanation:

I used a calculator

There are 8.54 grams of sugar in 7 servings of strawberries. How many grams of sugar are in a single serving of strawberries?

Answers

Answer:

1.22 grams of sugar

Step-by-step explanation:

8.54 divided by 7 is 1.22

4a. A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start up fee and monthly charge) to use the
cell phone plan for 1 month? *

Answers

$250 for a month {$200(fee) + $50(monthly charge) =$250}

the function g is defined by the following rule.
g (x) = 4x + 2
complete the function table.

Answers

-10, -6, 6, 10, 18.

g(-3)=4(-3)+2
g(-2)=4(-2)+2
g(1)=4(1)+2
g(2)=4(2)+2
g(4)=4(4)+2

The complete table is,

 x                  g (x)

- 3                - 10

- 2                 - 6

- 1                  - 2

 2                  10

 4                  18

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function g is defined as,

⇒ g (x) = 4x + 2

Now, Find all the values as;

 x                  g (x)

- 3               4 × - 3 + 2 = - 10

- 2               4 × - 2 + 2 = - 6

- 1                4 × - 1 + 2 = - 2

 2               4 ×  2 + 2 = 10

 4               4 × 4 + 2 = 18

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please me out????? please and thank you ​

Answers

Answer:

48

Step-by-step explanation:

pythagorean theroem

Answer:

46ft

Step-by-step explanation:

What is the answer to (2³)³? Explain or show your work.

Answers

Answer:

(2³)³=512

because, 2³=8 & 8³=512

Answer:

512

Step-by-step explanation:

Ok, let's start by deciphering how powering works:

[tex]a^3 = a \cdot a \cdot a\\a^b * a^c = a^{b+c}\textrm{; because it's "multiply a b times" multiplied by "multiply a c times"}\\(a^b)^c = a^{b\cdot c}\textrm{; because of the above}\\[/tex]

[tex](2^3)^3 = 2^{3\cdot3} = 2^9\\[/tex]

and because of KibiBytes existing, we know that 2^10 = 1024, so 2^9 will be equal to 1024/2=512

The radius of a circle is 222 units.
What is the diameter of the circle?

Answers

Answer:

111

Step-by-step explanation:

just divide the raduis by 2 to get 111

Answer:

444

Step-by-step explanation:

The radius of a circle is the center point to the end of the circle in any direction.

the diameter of a circle is the full stretch of the circle.

In order to find out the diameter from the radius all you have to do is multiply the radius by 2.

222*2=444.

If you need me to go in depth please let me know

An artist prints Shirts to sell at a fair for $11 each
• The artist has some initial T-shirts ready to sell and works for hours more, printing a constant sumber of dins esery hour
• The expression 14(12h +20) represents the amount, in dollars, the artist will ears selling all the hurts
How many Tshirts did the artist have initially?
12T-shirts
14 T-shirts
25 T shirts
30T-shirts
Cotator

Answers

Answer:

25 t

Step-by-step explanation:


16. Which segment is perpendicular to DE ?
A AB
C DE
ВСЕ
DEF

Answers

Segment EF . So your answer is D

Help and please make sure it’s right :)

Answers

Answer:

21

Step-by-step explanation:

Hey There

So remember all of the angles in a triangle add up to equal 180

The exterior angle is equal to the missing interior angle because they are vertical angles

so 180 = 2x + 6 + x + 9 + 129

step 1 combine like terms

6+9+129=144

2x+x=3x

now we have

180=144+3x

step 2 subtract each side by 144

180-144=36

now we have

3x=36

step 3 divide each side by 3

36/3=12

Now we just plug in 12 to x+9

12+9=21

so we can conclude that angle A = 21

Please help me with this question

Answers

Answer:

4x+6y

Step-by-step explanation:

4) Ella bought two packs of blackberry juice for $15 and three candy bars from a store. If her total purchase was worth $45, how much did each candy bar cost?​

Answers

one candy bar would be $5 thus 3 bars being $15 plus the $30 in juice which equals $45 :)

Hi there! I could really use your help. It is needed :)

Answers

Answer:

330 cm

Step-by-step explanation:

A=2(wl+hl+hw)=2·(0.6·10+15·10+15·0.6)=330

330cm I am trying to help

Rearrange the following formula so that
d
is the subject:



p= d²/7

Answers

Answer:

d= sqrt(7p)

multiply both sides by 7,take the square root of both sides

24x + 32 − 2.1x = 20.9x + 30 + x + 2

Answers

Answer:

All real numbers are solutions. (Infintie Solutions any number)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24x+32−2.1x=20.9x+30+x+2

24x+32+−2.1x=20.9x+30+x+2

(24x+−2.1x)+(32)=(20.9x+x)+(30+2)(Combine Like Terms)

21.9x+32=21.9x+32

21.9x+32=21.9x+32

Step 2: Subtract 21.9x from both sides.

21.9x+32−21.9x=21.9x+32−21.9x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Answer:

All "real"numbers are solutions, infintiely many solutions

James buys a shirt and a pair of socks on sale for 20% off. If the price of the shirt
before the sale was $26 and he spent a total of $26, what was the original price of
the socks? Round to the nearest hundredth, if necessary.

Answers

Answer:

The Price of socks is  

=

$

8

Explanation:

Given -

Discount 25%

Price of shirt before discount  

=

$

24

Amount spent on both shirt and socks after applying discount  

=

$

24

Assume the price of socks  

=

$

x

Then Shirt + Socks before discount =

$

(

24

+

x

)

After discount one has to pay 75% of the article.

Then -

75

100

(

24

+

x

)

=

24

0.75

(

24

+

x

)

=

24

18

+

0.75

x

=

24

0.75

x

=

24

18

=

6

x

=

6

0.75

=

8

The Price of socks is  

=

$

8

How to verify your answer -

One way

Price of shirt =$24

Price of socks =$8

Total =$32

Discount =25%

Discount for $32 is  

32

×

25

100

=

$

8

Amount one has to pay after discount  

=

32

8

=

$

24

Another way is -

Discount 25%

It means after discount it is enough if he pays 75% of the price.

In our case - Actual price is  

=

$

32

75% of $32 is  

=

32

×

75

100

=

2

Step-by-step explanation:

Can someone please help me answer this question asap

Answers

Answer: A, C, F

1/4 of 12 is 3 so she walked a total of 15 miles

Circle all answers that equal 15 miles

Maria is shopping for party supplies. She finds that paper plates come in packages of eight, napkins come in packages of 10, and paper cups come in packages of 12, what is the least number of packages of plates napkins and cups she has to buy so that she has the same number of each Item for her birthday party.

Answers

Answer

15 plates, 12 napkins and 10 cups

Step-by-step explanation:

To find the least amount, you have to find the lcm of all three numbers. In this case the lcm of 8,10, and 12 is 120. Afterwards you need to divied 120 by all numbers. So 120 divided by 8 is 15, so 15 plates. 120 divided by 10 is 12, so 12 napkins and finally 120 divided by 12 is 10, so 10 cups

The least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that paper plates come in packages of eight, napkins come in packages of 10, and paper cups come in packages of 12. Therefore, to find the least number of packages of plates napkins and cups Maria has to buy so that she has the same number of each Item for her birthday party, we need to take the LCM of the following.

LCM of 8, 10, and 12 = 120

Now, the number of packages,

[tex]\text{Number of paper plate packs} = \dfrac{120}{8}=15[/tex]

[tex]\text{Number of napkins pack} = \dfrac{120}{10}=12[/tex]

[tex]\text{Number of paper cups pack} = \dfrac{120}{12}=10[/tex]

Hence, the least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.

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Polly has $80,000 in a savings account that earns 1% annually. The interest is not compounded. How much will she have in 1 year?

Answers

Answer:

80,800

Step-by-step explanation:

ill mark brainlist plss help

Answers

Answer:

71%

Step-by-step explanation:

To find a percent from a decimal, you multiply by 100 and add a percent sign. BOOM

Emma has one more than twice as many toys as Alice has. Altogether Alice and Emma have 13 toys. How many toys do Emma and Alice each have?

Answers

Emma has 9 toys and Alice has 4 toys.

Find the value of x in the triangle shown below.
6.2
6.2
61
$

Answers

An isosceles triangle is one with two equal-length sides. The value of x is 58°.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since the given triangle is an isosceles triangle, therefore, the angle opposite to side 6.25 units will be equal, therefore, the sum of all the angles of the triangle will be,

61° + 61° + x = 180°

x = 58°

Hence, the value of x is 58°.

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helpppppp What is the value of the expression 7 + (16 − 7) ÷ 3 + 8? worth 15 points

12
15
17
18

Answers

Answer is 18, just did the math myself :)

Answer:

18

Step-by-step explanation:

PEMDAS

Parenthesis: 7+(9)/3+8

Division: 7+3+8

Addition: 18

Enter the length of Side AC, to the nearest tenth. plzzz hellpppp its urgent​

Answers

Answer:

33

Step-by-step explanation:

90-57

right triangle is 90

Find the total surface area of the figure.

Answers

Answer:

8x6x4=192. So, the answer is 192.

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