solve the system of equations using elimanation
-2x+2y=6
4x+2y=-5

Answers

Answer 1

Answer:

Your solution is (-11/6, 7/6).

Step-by-step explanation:

-2x + 2y = 6

4x + 2y = -5

Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the 2y's a positive by multiplying each term in the equation by -1.

4x + 2y = -5

-1(4x + 2y = -5)

-4x - 2y = 5

Now we have a new equation in our system.

-2x + 2y = 6

-4x - 2y = 5

Now eliminate by performing each action given by the terms.

-2x + 2y = 6

-4x - 2y = 5

_________

-6x = 11

Divide both sides by -6.

x = 11/-6

Now that we know x, plug it back into one of the original equations to find y.

-2x + 2y = 6

-2(11/-6) + 2y = 6

Multiply.

-22/-6 + 2y = 6

22/6 + 2y = 6

Subtract 22/6 from both sides.

2y = 6 - 22/6

2y = 36/6 - 22/6

2y = 14/6

2y = 7/3

Divide both sides by 2.

y = (7/3)/2

y = 7/6

Your solution is (-11/6, 7/6).

Check your answer by plugging both values into one of the original equations.

4x + 2y = -5

4(-11/6) + 2(7/6) = -5

Multiply.

-44/6 + 14/6 = -5

Add.

-30/6 = -5

Divide.

-5 = -5

Your answer is correct.

Hope this helps!


Related Questions

How to find the area using the net of a pyramid

Answers

Answer: u have to surond the permiter with people you like to help you with it

Step-by-step explanation:

Find five rational numbers between 3/5 and 4/5

Answers

Answer: 19/30, 20/30, 21/30, 22/30, 23/30.

The diagram shows two rectangles which have the same area . Find the value of y.​

Answers

Answer:

y = 4

Step-by-step explanation:

Since the 2 rectangles have the same area, then

12.5 × 2y = 5 × 20

25y = 100 ( divide both sides by 25 )

y = 4

Patrice, por sí solo, puede pintar cuatro cuartos en 10 horas. Si contrata a April para que le ayude, pueden hacer el mismo trabajo en 6 horas. ¿Cuánto tiempo le tomará a April pintar cuatro cuartos si trabaja sola?

Answers

Answer:

15 horas

Step-by-step explanation:

Representemos:

El número de horas que Patrice puede pintar solo = P = 10 horas

El número de horas que April puede pintar por su cuenta = A = X horas

El número total de horas que pueden trabajar juntos para hacer el mismo trabajo = T = 6

Por tanto, nuestra fórmula es:

1 / P + 1 / A = 1 / T

1/10 + 1 / A = 1/6

1 / A = 1/6 -1/10

Denominador común más bajo = 30

1 / A = 5 - 3/30

1 / A = 2/30

1 / A = 1/15

Multiplicar cruzada

A × 1 = 15 × 1

A = 15 horas

Por lo tanto, la cantidad de horas que April puede pintar cuatro habitaciones si trabaja sola es de 15 horas.

Evaluate if a =4&b= 7
28 + b +7
Plss help

Answers

Answer:

a=4

Step-by-step explanation:

pls give me harts thank u!

Dan has an old lawn mower! It takes him 1 hour to mow the whole lawn. How many square yards does Dan cut in one minute? Hints: There are 60 minutes in 1 hour. To find the unit rate divide the area of the lawn by the amount of time it takes Dan to mow the whole lawn.

Answers

Answer:

No solution is possible from the information given.

The area of the lawn is unknown.

Step-by-step explanation:

Find the area of the triangle.





(Please help)

Answers

Answer:

That is one big M

Step-by-step explanation:

Other than that I cannot help with this question because of the picture that was taken was enlarged too much!

Answer:

I can't see the numbers        

Step-by-step explanation:

I can't see the numbers for me to find the area can you pull back the camera back then take another picture .

Hamdan bought a TV for 40000 and sold it for 32000. What is the profit/loss percentage

Answers

Answer:

20% loss

Step-by-step explanation:

(32000-40000)/40000 * 100 = -20%

Answer:

Step-by-step explanation:

CP of a TV=40000

Sp of a TV=32000

here CP is greater than Sp so there is loss

loss=CP-SP

=40000-32000

=8000

loss%=loss amount/cp*100%

=8000/40000*100

=800000/40000

=20%

A total of 394 people got on a boat that already had 108 people on it.

what is the best estimate for the total number of people on the boat?

Answers

Answer:

502

Step-by-step explanation:

394+108

Answer:

500 is my best answer

Step-by-step explanation:

Please help me dunduendjenbe!!! I beg u

Answers

Answer:

y = 4/3x - 2, B is your answer

Step-by-step explanation:

Y intercept is the number next to slope(b).

The co efficient of x will be your slope so therefore the co efficient of x will be 4/3

y is always there because it will always be the dependent variable on the left side.

Answer:

the answer is B

Step-by-step explanation:

Y=(slope)x+y-intercept/y=mx+b

plug in the slope then the Yy intercept

Please help so I don’t fail!!

Solve each equation by completing the square
1)b^2-4b-16=-7

2) 5v^2+20v-54=6

Answers

Answer:

b = 2 + sqrt13, 2 - sqrt13

v = 2, - 6

Sorry if you need to show work it's really hard to type it out since I don't have the symbols

A hockey goalie got shot on 18 times . She saved 10 of the shots . Which ratio represents the amount of shots that went in to the amount of shots she saved ?

Answers

Answer is   4:5

========================================================

Explanation:

She saved 10 shots out of 18 total, so that means 18-10 = 8 shots went in.

That forms the ratio 8:10 where we list the amount of shots that went in, followed by a colon, then the amount of shots that were saved. The order is important. From here, we divide both parts of the ratio by 2. The ratio 8:10 fully reduces to 4:5

Effectively, this means that for every 4 shots that went in, there were 5 shots that were blocked.

4:5

Saved shots: 10
Shot in: 8
8:10 -> 4:5 (simplified)

what is 2/8 divided by 3/4

Answers

Answer:

1/3

Step-by-step explanation:

2/8 ÷ 3/4

Copy dot flip

2/8 * 4/3

Simplify

2*4  / (8*3)

8/24

1/3

Answer:

0.333333333333 should be the answer, hope this helps!

Find the largest share when $650 is divided in the ratio 5:6:2

Answers

The largest share is
650x(6/13)
= 300

someone pls help me. pls only reply if you know and no links, if u reply and u don’t know and u just spam i’ll report ur comment

Answers

Answer:
a) angle SQT= 36°
b) angle QRW= 36°
c) I would need more information for this part but i hope this helps !

Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared

Answers

Answer:

13 ug

Step-by-step explanation:

Victoria is designing an image to be projected onto a screen. Her design is shown

below.

Victoria's Design

What is the total area, in square centimeters,

of Victoria's design?

8 cm

4 cm

4 cm

4 cm

10 cm

14 cm

146 centimeters squared

188 centimeters squared

118 centimeters squared

What is 45 quarts= ___ pounds​

Answers

Answer:

93.8858 pounds

How to convert:

1 pound (lb) = 0.479305709 quart (qt). Pound (lb) is a unit of Weight used in Standard system. Quart (qt) is a unit of Volume used in Cooking system. Please note this is weight to volume conversion, this conversion is valid only for pure water at temperature 4 °C.

1 US qt = 0.946352946 liters = 0.946352946 kg of pure water at temperature 4 °C.

US oz = 28.349523125 g

US fl oz = 29.5735295625 ml (milliliters) = 29.5735295625 g (grams) of pure water at temperature 4 °C.

US cup = 8 fl oz = 236.5882365 ml (milliliters) = 236.5882365 g (grams) of pure water at temperature 4 °C.

The US liquid quart equals to 0.946352946 liters.

Answer:

45 quarts is equal to exactly 93.8858 pounds.

Step-by-step explanation:

1 quart (qt) = 2.086351113 pound (lb).

Multiply 2.086351113 pounds by 45 to get your answer.

Use a half-angle identity to find the exact value of cos 15º.

Answers

Answer:

Step-by-step explanation:

[tex]cos15=cos\frac{30}{2}[/tex] so the angle we will use in our identity is 30 degrees. The formula is

[tex]cos\frac{30}{2}=\sqrt{\frac{1+cos30}{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{\frac{2+\sqrt{3} }{2} }{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{2+\sqrt{3} }{4} }[/tex] which simplifies, finally, to

[tex]\frac{\sqrt{2+\sqrt{3} } }{2}[/tex], choice a.

1/4 divided by 3 = ___

Answers

Answer:

[tex]\frac{1}{4} \div 3 = \frac{\frac{1}{4} }{3} = \frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

1/4 / 3/1

1*1/4*3

= 1/12

Which angle has its terminal side on the negative x-axis?

Answers

Answer:

π radians

Step-by-step explanation:

*view photo*

Does the graph represent a function??

Answers

Answer:

No

Step-by-step explanation:

If it was a full line, then it would represent a function.

No the graph does not represent a function

#1 How much will the seed cost to seed the grass area above? The seed
costs $23 for a 10 lbs bag that covers 12 feet with a 9% sales tax. *

Answers

Answer:

Step-by-step explanation:

The graph of a function is a line passes through points (6,20) and (8,42). What is the equation of this function?

Answers

Answer:

The equation would be y=mx+b so plugging in the slope which is, 11, so y=11x+b WE DO NOT KNOW THE Y INTERCEPT

Saima can blow 15balloons in 20 min sara can blow 18 balloons in 25 minutes ahamd can blow 16 balloons in 21 minutes bilal can blow 12 ballons in 23 min who can blow balloons at fastest rate

Answers

Answer:

so its means that ahmad can blow balloons at fastest rate...

Step-by-step explanation:

Saima:

15b = 20min

1 b = 1 min 20sec

Sarah;

18b = 25min

1 b = 1 min 23sec

ahmad;

16b = 21min

1 b = 1 min 19sec

Bilal;

12b = 23min

1 b = 1 min 55 sec

HOPE ITS HELPSS......

find the surface area:

Answers

The answer is 28 I hope this helps

Help ASAP pls help me I need help like ASAP im being timed

Answers

Answer:

115

Step-by-step explanation:

Answer:

155

Step-by-step explanation:

Have a good day :)

please help!!! i will mark brainliest!!

Answers

Answer:

A. 96

C. 48

D. 24

Step-by-step explanation:

Multiples of 8

8 = 8, 16, 24, 32, 40, 48, 56, and 64, 72, 80, 88, 96, 104,.......

Multiples of 12

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108,........

Common multiples of 8 and 12 = 24, 48, 72 and 96

The correct answers are:

A. 96

C. 48

D. 24

Robbert wants to put lights around the edge of his yard.The yard if 40 feet long and 23 feet wide.How many yards of light does he need

Answers

Answer:

102.222 square yards of light.

Step-by-step explanation:

From the above question, the yard had the dimensions 40 feet long and 23 feet wide.

Hence, the yard is rectangular in shape.

We have to find the area of the yard.

The formula is given as:

Area = Length × Width

= 40 feet × 23 feet

= 920 square feet

Converting to yards

1 square foot = 0.111 square yard

920 square feet = x

Cross Multiply

x = 920 × 0.111 square yard

x = 102.222 square yards.

Therefore, Robbert would need 102.222 square yards of light.

Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?

Answers

Answer:

$5 for a dog treat

$3 for a cat treat

Step-by-step explanation:

week 1: 6d + 4c = 42

week 2: 2d + 7c = 31

*used calculator & guessed what each treat costs*

WEEK 1:

6(5) + 4(3) = 42

30 + 12 = 42

42 = 42

WEEK 2:

2(5) + 7(3) = 31

10 + 21 = 31

31 = 31

It was 7 °F outside. The temperature dropped 16º.
How cold did it get?
A. -23 °F
B. -16 °F
C. -9°F
D. 9°F
E. 23 °F

Answers

The answer would be C.



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