x+2y =27 and 2x-y=19

Answers

Answer 1
the answer
y=7. x= 13
Answer 2

Answer:

x = 13 , y = 7

Step-by-step explanation:

x + 2y = 27 => x = 27 - 2y ---------( 1 )

2x - y = 19 ------------ ( 2 )

Substitute ( 1 ) in ( 2 ) :

                         2x - y = 19

                         2(27 - 2y) - y = 19

                         54 - 4y - y = 19

                             -5y = 19 - 54

                             -5y = -35

                                y = 7

Substitute y = 7 in ( 1 ) :

                            x = 27 - 2y

                            x = 27 - 2( 7 )

                           x = 27 - 14

                          x = 13  


Related Questions

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.493
$2.505
$2.509
$2.498

Answers

Answer:

$2.498

Step-by-step explanation:

What is the value of 9/10 divided by 1/5?

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

BOTH NUMBERS HAVE the  GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP!!


Find the area of the following triangle enter the exact answer as a decimal

Answers

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

which of the following number are prime numbers 1,7,36,16,2,51,25​

Answers

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

Please Help!!

In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26

Answers

Answer:

The answer is D

Step-by-step explanation:

This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D

What is the square feet

A.60 square feet

B.54 square feet

C.42 square feet

D.104 square feet

Answers

The answer is B
Hope that helps

whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!

Answers

Answer:

me :- mighty assassin-,-

xd

If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.​

Answers

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

Please answer

Evaluate 60st when s = 5 and t = -3.7

Answers

Answer:

[tex]60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110[/tex]

Answer:

-1110

Step-by-step explanation:

given:

s = 5

t = -3.7

to find

60st

=60*s*t

=60*5*(-3.7)

=300*-3.7

=-1110

Please help me! That would be great if you can.

Answers

Answer should be 3 I’m pretty sure
Yup its pretty much 3

the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get

Answers

x^2-8x+12, hope this helps

Which transformation is a translation?

Answers

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original lie segment?

Answers

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]

Answers

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

2. Find the base of a triangle which has an area of 2 1/4 square inches, and a height of 1/8 in. ​

Answers

Answer:

36 inches

Step-by-step explanation:

Given data

Area of triangle =2 1/4 square inches

Area =9/4 square inches

Height of triangle =1/8 inches

We know that the expression for the area of triangle is

Area = 1/2Base *Height

9/4=1/2*Base *1/8

9/4=Base/16

Cross multiply

16*9=Base*4

144=Base*4

Base =144/4

Base=36 inches

identify the precision unit for the measuring tool below​

Answers

The answer is 0.1 cm

please answer quickly easy 15 points but please answer quick

Answers

Answer:

24.25 feet

Step-by-step explanation:

Let a=2 and b=1, find the value of 2a + 3b

Answers

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

Please help me this should be easy for y'all thanks

Answers

Answer:

20

Step-by-step explanation:

find the centre and radius for this circle , x^2+y^2=25

Answers

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

Is -33.1 a whole number

Answers

Answer:

No

Step-by-step explanation:

This is because it's part of a whole.  It has to be an integer to be whole.

Answer:

no because Whole numbers include positive integers along with 0 and also  Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no

Step-by-step explanation:

Factor the expression x^2+6x+8

Answers

This is not the real answer but 3 to the power of 3 is 27 not 9

pls help
Factor out the GCF
16x - 48

Answers

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

please help me i have 5 minutes left: )! ill give Brainliest thanks<3

Answers

Answer:

B

Step-by-step explanation:

B

Rationalize 1/√18

Will Mark as Brainliest for the best

Answers

Answer:

[tex]\frac{\sqrt{2} }{6}[/tex]

Step-by-step explanation

[tex]\frac{1}{\sqrt{18} } \\\frac{1}{\sqrt{18} } *\frac{\sqrt{18} }{\sqrt{18} } \\\frac{1*\sqrt{18} }{(\sqrt{18} )^2} \\\frac{1\sqrt{18} }{18} \\\frac{3\sqrt{2} }{18} \\\frac{\sqrt{2} }{6}[/tex]

Solve for x.
Please help

Answers

Answer:

x =6

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

7x = x+36

Subtract x from each side

7x -x = x+36-x

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide  the line segment PQ in the ratio​

Answers

Answer:

PQ' : Q'Q = 3 : 1

Step-by-step explanation:

As Given In Question

We Have A Triangle With Side PQ=8cm

PQ' = 3/4 * PQ

PQ' = 3/4 * 8

PQ' = 6 cm

& Q'Q = PQ - PQ'  

            = 8 - 6 = 2cm

so the line segment PQ is divided into PQ' : Q'Q = 3 : 1

Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"​

Answers

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2

Only answer if you’re sure of it. FAST!!

A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.

Answers

There are only 4 Kings in a standard deck of 52 poker cards, being the King of Spades, Clubs, Diamonds and Hearts. So the probability of drawing a king from the cards is 4/52 = 1/13.and it is the same for the ace so together they’d be 8/52 or 2/13.....hope that helps

HELPP PLEASEEE thanks!

Answers

Answer:

about 1587

that is the answer to the question

Step-by-step explanation:

I just typed it in a calculator

Answer: D

Step-by-step explanation:

Area is pi x r^2

Diameter is 2r

46.7/2 = 23.35

3 x 23.35^2 =  1635.67 or closest to D

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