solve the system by substitution
5x+y=-14
5x- 3y=2

Answers

Answer 1

Answer:

x = -2, y = -4, or (-2, -4).

Step-by-step explanation:

5x + y = -14

5x - 3y = 2

If we look at the first equation, we can see that y can be easily isolated.

5x + y = -14

Subtract 5x from both sides.

y = -5x - 14

Now we have a variable that we can plug into the second equation.

5x - 3y = 2

5x - 3(-5x - 14) = 2

Distribute the -3 across each term in the parentheses.

5x + 15x + 42 = 2

Combine like terms.

20x + 42 = 2

Subtract 42 from both sides.

20x = -40

Divide both sides by 20 to isolate x.

x = -2

Plug in x = -2 back into one of the equations to find y.

y = -5x - 14

y = -5(-2) - 14

Multiply.

y = 10 - 14

Subtract.

y = -4

Our solution is x = -2, y = -4, or (-2, -4).

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

5x - 3y = 2

5(-2) - 3(-4) = 2

-10 + 12 = 2

2 = 2

Your answer is correct.

Hope this helps!


Related Questions

Nikki sold 24 boxes of cookies. Nikki sold 4 more than 5 times the number of boxes of cookies Samantha sold. Exactly how many boxes of cookies did Samantha sell?

Answers

answer 4

explanation

Nikki sold 4 more than Samantha number times 5

24-4=20

so Samantha number times five equals 20

20÷5=4

Samantha sold 4 boxes of cookies

You can kick "b" soccer balls into a goal in 2 minutes, and you have been kicking for 16 minutes. You take a break then kick 3 more balls. Do NOT try to solve, but write me an EXPRESSION that represents how many balls you kicked in total

Answers

Answer:

SCHOOL

Step-by-step explanation:

Volume of a rectangular prism with a length of 6 inches, width of 2 inches, and height of 4 inches,

Answers

Answer:

[tex]V=48 inch^3[/tex]

Step-by-step explanation:

From the question we are told that:

Length of prism l=6 inches

Width of prism w=2 inches

Height of prism h=4 inches

Generally the equation for Volume of rectangular prism is mathematically given by

 [tex]V=l*w*h[/tex]

 [tex]V=6*2*4[/tex]

 [tex]V=48 inch^3[/tex]

Therefore of Volume of rectangular prism is

[tex]V=48 inch^3[/tex]

Find the probability. Write answer as a reduced fraction using the forward slash (/).
You have 10 blue marbles, 8 red marbles, and 6 white marbles in a bag. You pick a red marble and put it back, pick a blue marble and put it back, and then pick a red or white marble.

Answers

Answer: depends on which probability you want (tell me and I’ll edit)

Step-by-step explanation:

10 blue

8 red

6 white

24 total

Pick a red marble: 8/24 or 1/3

Pick a blue marble: 10/24 or 5/12

Pick red or white: 14/24 or 7/12

do you want to know the probability of doing all that (pick red, put back, pick blue, put back, then pick red or white)? Or just the probability of each outcome?

Piper is buying a bottle of bubbles for $5.99. If there are 3 gallons of bubbles in the bottle, what is the unit rate?

Answers

Answer:

5.99/3

Step-by-step explanation:

Teachers usually except this stuff because it is technically correct

Can someone please help me with math.

Answers

Answer:

4: No

5: A

Step-by-step explanation:

4: The mapping does now represent a function. In a function each x value can only have 1 corresponding y value ( meaning that the x values can not repeat.) In the mapping the x value 3 corresponds with 2 y values therefore the mapping is not a function.

5.

Formula for volume of a cylinder = [tex]V=\pi r^2h[/tex]

Where r = radius and h = height

The cylinder shown has a given diameter of 22ft and a given height of 10ft

In order to use the formula we must convert the diameter to radius.

To do this we divide the diameter by 2 ( this is because the radius is equal to half the diameter )

so radius = 22/2 = 11

Now we plug in the dimensions into the formula

[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\1210\pi[/tex]

Remember, it says " Leave your answer in terms of pi," therefore we do not apply pi and leave it as 1210π

We can conclude that the answer is A

A soccer dome shaped like a hemisphere has a volume of 450,000 cubic meters. What is the area of its floor? Use 3.14 for π in your calculations and round your answer to the nearest square meters

Answers

Answer:

3282 m^2

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

r = (450,000 x (3/2) x(1/3.14)) ^1/3

r = 45.72

Area of a semicircle = 1/2 x n x r^2

1/2 x 45.72^2 x 3.14 = 3282 m^2

Below. What is m∠1?

m∠1 =

Answers

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It is A 7

Step-by-step explanation:

2(7)+4= 18

14 + 4=18

Please help with this, will mark brainlist if correct

Answers

Answer:

the ratio is 24/7___,_______

Answer: 24/7

Step-by-step explanation:

Tan is Opp/Adj

Tan C is 24/7

1.
Use synthetic division and the Remainder Theorem to find P(a).

P(x) = x3 + 7x2 + 4x; a = −2


2


12


−2


0

Answers

Answer:

12

Step-by-step explanation:

Please write this function as P(x) = x^3 + 7x^2 + 4x + 0.  This third order function has four coefficients.  We set up synthetic division with -2 as the divisor:

-2   /   1    7    4    0

              -2   -10  12

     ----------------------

        1      5     -6  12

The remainder is 12.  Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.

PLEASE HURRY MY TEACHER IS ABOUT TO CALL ON ME. I NEED THE AREA

Answers

Answer:

65 i did it quick, i might be wrong

Step-by-step explanation:

bh/2

10*39/3

390/3

130/2=65

Express 80 g as a fraction of 1 kg.
Give your answer as a fraction in its lowest terms.

Answers

1 kg = 1,000 g

80g/1000g = 8/100 = 2/25

How much is 3×4+9÷6+44×77×777×00+9?​

Answers

Answer:[tex]3*9+9/6+44*77*777*00+9[/tex], so using order of applications, it simplifies to 27+1.5+9 after multiplying and dividing, and the final answer is 37.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

pro tip use bodmas

3*4+9/6+44*77*777*00+9

3*4+1.5+44*77*777*00+9

12+1.5+0+9

22.5

Need Help with a math question asap
I can't seem to get this one quite right
2(x+8)^(2)+9=29
Answer format: (__,__)

Answers

Answer:

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Step-by-step explanation:

2(x + 8)²+ 9 = 29

Subtract 9 from both sides

2(x + 8)² = 20

Divide both sides by 2

(x + 8)² = 10

Take the square root of both sides

x + 8 = ±√10

Subtract 8 from both sides

x = -8 ± √10

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

When benny's sister is 24, Benny's age will be 125% of her age. How old will Benny be then, and is Benny is 12 years old now, how old is penny now?

Answers

Answer:

A. 30

B. 6

Step-by-step explanation:

We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:

B = 1.25 * 24

(benny is 25% older than her)

So Benny's age then will be 1.25 * 24 = 30.

When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will always be 6 years older than her. You can write that as:

B = P + 6

If Benny is 12 years old now,

12 = P + 6

Subtract 6 from both sides and you get

6 = P

or P = 6

Penny is 6 years old when Benny is 12.

6th grade math plsssssss whoever does this I will give any vbuck card, or Microsoft. PLSSS HELP!

Answers

$20-$9=$11
11/2=5 with a remainder of 1
you can get a total of 5 toppings

Answer:

5 toppings

Step-by-step explanation:

$20 - $9 = $11 dollars left for toppings

$11 ÷ 2 = 5.5

So, you can get 5 toppings with 50 cents left.

Have a great day!

can anyone help please? I’ll give brainliest !

Answers

Answer:

I think he has $9800 left to pay off

Step-by-step explanation:

multiply the tuition(10350)by 2. Then subtract 1/3 of that (6900) by the price (20700) thensubtract the $4000 he gets from his job

Graph the following features:
Slope = 4 Y-intercept: -1

Answers

Answer:

Graph the point at -1 on the y-axis, then the next at 4 on the x-axis, then connect them

This is the graph as in upload

SOMEONE PLS HELP ME

I ATTACHED A PIC​

Answers

Answer:

See solution below

Step-by-step explanation:

The centre of the circle will be the midpoint of both coordinate

Given the coordinates P(-7, -10) and Q = (3,2)

X = x1+x2/2

X = -7+3/2

X = -4/2

X = -2

Y = y1+y2/2

Y = -10+2/2

Y = -8/2

Y = -4

Hence the centre is at (-2, -4)

The distance between the coordinates will be the diamter

PQ =√(3+7)² + (2+10)²

PQ =√(10)² + (12)²

PQ = √100+144

PQ =√244

radius = √244/2

Get the equation

(x-a)² + (y-b)² = r²

(x -(-2))² + (y-(-4))² = (√244/2)²

(x +2)² + (y+4)² = (244/4)

(x +2)² + (y+4)² = 61

This gives the required equation

An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply: 110 55 35 15

Answers

Answer:

35 degrees

Step-by-step explanation:

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side

sum of angles in a triangle = 180

180 - 110 = 70

since 2 angles would be equal

70 / 2 = 35

Please help me solve this

Answers

Answer:

area of the square=18×18

=324 cm²

area of the circle=πr²

=3.142×9² (radius=18cm/2=9cm). =254.502 cm²

area of the shaded region=324-254.502

=69.498 cm²

x^2- 4x- 12 = 0
Solve by factoring and solve by completing the square​

Answers

Use the formula (b/2)^2 in order to create a new term. Solve for by using this term to complete the square.

Cannot solve by completing the square.

The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a SAS congruence correspondence?


A. EL⎯⎯⎯⎯⎯⎯⎯≅KA⎯⎯⎯⎯⎯⎯⎯⎯
E
L
¯

K
A
¯
B. ∠E≅∠K

E


K
C. ∠L≅∠A

L


A
D. ∠C≅∠J

Answers

Answer:

∠C≅∠J

Step-by-step explanation:

Two triangles will be congruent by SAS information required ∠C≅∠J.

--------------------------hope it helps...have a great day!!

The missing information that we need to establish a side angle side congruence is that ∠C≅∠J.

What is congruence?

The congruence of a triangle can be established on three basis;

Side angle sideAngle angle sideSide side side

Now we know from the figure that the sides /CL/ = /JK/. It then follows that the missing information that we need to establish a side angle side congruence is that ∠C≅∠J.

Learn more about congruence:https://brainly.com/question/7888063

#SPJ5

5x-4=16 value of x is what?​

Answers

Answer:

x = 4

Step-by-step explanation:

5x-4=16

Add 4 to both sides of the equation.

5x = 20

Divide both sides by 5.

x = 4

Answer:

x=4

Step-by-step explanation:

You first add 4 to both sides and get 5x=20. Then you divide both sides by 5 to isolate the x and get x=4.

Hope this helped :)

The water content of a certain fruit, by weight, is 80%. Therefore, 20% of the
fruit, by weight, is other material.

When left in the sun to dry, the fruit loses 75% of its water content, and the
amount of other material remains the same.
What percent of the dried fruit is water?

Your solution includes the percent water in the dried fruit and an explanation that supports your answer. in other words, how did you find that percent value?

Answers

Answer:

50% is water

Step-by-step explanation:

1. 80% is water and 20% is from other material

2. Lets say a fruit has 100g, to make it easier to understand

2. if the fruit loses 75% of its water, it will lose 75% of 80%, which is 60% of the total weight or 60g lost. The fruit is now 40g

3. If 20% was other material (20g), now other material is 50% (the same 20g)

4. Water is now only 20g, which is 50% of the total weight

Answer:

50% is water I think I am really sorry I I is wrong

Jenelle invested $13000 in two mutual funds. Fund A earned 5% profit during the first year, while Fund B suffered a 2.5% loss. If she received a total of $290 profit, much had she invested in each mutual fund a

Jenelle invested $ ____ fund A
Jenelle invested $ ____into fund B

Answers

Answer:

hola la respuesta es 3900 y 2348

Step-by-step explanation:

espero que te sirva

Hey Jeager whos that babe your with?

Answers

Answer:

lol

Step-by-step explanation:

\

Answer:

I'm a single pringle, so you must be referring to my stuffed sloth.

HELP I HAVE 10 MINUTES! 20 POINTS!
MATH

Answers

Answer:

x=10rad3 and y=10

Step-by-step explanation:

Answer is in attachment . Hope it helps .

If you could,please help me find the surface area. Thank you I appreciate it very much.

Answers

Answer:

SA ==736^2

Without unit = 736^2

Step-by-step explanation:

Start with base of a triangle face

Base = 12 Height = 8

1/2 x 12 x 8 =  48  cm^2      one side face surface area

48 x 2 = 96 cm^2               two side face surface area bold

----

Sides

10 x 20 = 200 cm^2            one side face surface area

200 x 2 = 400 cm^2           two side face surface area bold

-----

base 20 x 12 = 240 cm^2    single base. bold

Add up those values in bold =  240 + 400 + 96 =736 cm^2

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