Mathematics High School

What is the nature of the solution set to the following system of equations?

4x + 3y = 2

3x − 2y = 10

What Is The Nature Of The Solution Set To The Following System Of Equations?4x + 3y = 23x 2y = 10

Answers

Answer 1

The solution to the system of equations is one solution at (2, -2)

How to determine the solution set?

The system of equations is given as:

4x + 3y = 2

3x − 2y = 10

Multiply (1) by 2 and (2) by 3.

So, we have:

8x + 6y = 4

9x − 6y = 30

Add both equations

17x = 34

Divide by 17

x = 2

Substitute x = 2 in 3x − 2y = 10

3(2) − 2y = 10

Solve for y

y = -2

Hence, the solution to the system of equations is one solution at (2, -2)

Read more about system of equations at

https://brainly.com/question/12895249

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Related Questions

simplify -8-(12)+(-2)
​

Answers

-8-12+(-2)

=-8-12-2

=-20-2

=-22

Puppy A weighs 9 pounds which is about 25% of its adult weight what will be the adult weight of puppy A?

Answers

it should be 36 pounds. if u do 9/.25 u get 36. to find 25% of a number, which in this case is 36, u do 36*.25 which =9. hope this helped!

1. What is 30 percent of 120?

A.30
B.20
C.40
D.36​

Answers

Answer:

D 36

Step-by-step explanation:

Answer:

D.36

Step-by-step explanation:

30            ?

---      x    ---

100         120

Multiply 30 times 120. You get 3600. Divide that by 100, and you get 36.

PLZ HELP WILL MARK BRAINIEST

Today, everything at a store is on sale. The store offers a 20% discount.

The regular price of a T-shirt is $16.

If the regular price of an item is x dollars, what is the discount price in dollars?

a.) 0.2x
b.) 0.8x
c.) 1.2x
d.) none of the above

Answers

Answer:

D?

Step-by-step explanation:

Plsss help me ASAP plss

Answers

The answer is: 9 lte u

At the end of the summer, I decide to drain the swimming pool
(which has 1500 gallons of water in it). I noticed that it drains
faster when there is more water in the pool. That was interesting
to me, so I decided to measure the rate at which it drains. I found
that it was draining at a rate of 1% every minute.
How long will it take to empty the pool?

Answers

20% is the answer. 20%

HELP ME PLEAAAAAAAAAASSSSSSSSE

Answers

Answer:

jwjsjsjwujksikwpqñk1972

I NEED HELP ASAP PLEASE HELP DONT JUST SPAM :(

Answers

Answer:

i think for 4 is b altho im not sure

Step-by-step explanation:

308 miles in 7 hours. Find the
rate and unit rate in miles per
hour. Please help :) It’s 15 points.

Answers

Answer:

They did 44 miles per hour

Step-by-step explanation:

308 / 7 = 44

Sarah and Ethan are plotting points on a
coordinate grid. Sarah plots the point A(-2. – 3)
and Ethan plots the point B(1.2). What is the
distance between the two points?

Answers

Answer:

srry buddy

I didn't get the answer ✌️✌️

in a yaz game, Gina won 3 games, lost 5, later won 6 and finally lost 4, what was the balance of the game?​

Answers

Answer:

0

Step-by-step explanation: 3-5=-2+6=4-4=0

1. 50% of 82
2. 10% of 2,350
3. 80% of 40
4. 160% of 30
5. 250% of 2
6. 105% of 260
7. 0.5% of 12
8. 40% of 16.5
9. 75% of 8.4
Help please !!

Answers

Answer:

1. 41

2. 235

3. 32

4. 48

5. 5

6. 273

7. .06

8. 6.6

9. 6.3

Step-by-step explanation:

Answer:

1=41

2=235

3=32

4=48

5=5

6=273

7=0.06

8=6.6

9=6.3

4 Eric sketches a rectangle with a perimeter of
90 inches. The length of the rectangle is three
inches longer than the width. Which equation
can be used to determine x, the width of the
rectangle Eric sketched?
F 2x + 2x + 3 = 90
G 2(x + 3) = 90
H x(x + 3) = 90
J 2(x) + 2(x + 3) = 90

Answers

Answer:

2(x) + 2(x + 3) = 90

Step-by-step explanation:

Width: x inch.

Length: (x + 3) inch.

P = 2 [tex]w^{}[/tex] + 2 [tex]l^{}[/tex]

P = 2(x) + 2(x + 3) = 90

I have no idea what to do please help

Answers

Answer:

CD- transversal

XY AND ZW - parallel lines

and the other vertical angles

Answer:

XY and ZW: Parallel Lines, angles 2 and 4: same side interior angles, angles 1 and 3: vertical angles, angles 1 and 7: alternate exterior angles, no idea for line CD

Step-by-step explanation:

Help me with this plz

Answers

Answer: 42

Step-by-step explanation:

use the properties of exponents to simplify the expression 522/513

Answers

Answer:

5^9 or 1,953,125

Step-by-step explanation:

5^22 / 5^13

Using the law of exponents we have 5^22-13 = 5^9

The question is up there ☝

Answers

Answer:

D

Step-by-step explanation:

The parabola is translated down 2 units.

I might be wrong tho.

Hola alguien puede ayudarme a resolver estos ejercicios por favor Ejercicios de intervalos 1.- Escribe en todas las formas posibles los siguientes intervalos y semirrectas: a) { x / –2 ≤ x < 3} b) Números mayores que –1 c) (–[infinity], –5] d) Números mayores o iguales que –7 y menores que 19. e) Números mayores que 9 y menores que 5.

Answers

Answer:

Tenemos 3 formas de escribir cada intervalo, una es con solo texto, la otra es usando los símbolos { <, >, ≤, ≥ }, y la última es con intervalos, donde:

( se usa para " < x "

) se usa para " > x "

[ se usa para  " ≤ x "

] se usa para   " ≥ x "

a) -2 ≤ x ≤3

Esto se escribe como:

"números mayores o iguales que -2 y menores o iguales que 3"

y

[-2, 3]

b) Números mayores que –1

Las otras formas de escribir esto son:

-1 < x

y no tenemos limite mayor, entonces:

(-1, ∞)

con -∞ y ∞ siempre se usan los símbolos ( o )  

c) (–[infinity], –5]  

Las otras notaciones son:

"Un numero menor o igual que -5"

x ≤ -5

d)  Números mayores o iguales que –7 y menores que 19

Las otras notaciones son:

-7 ≤ x < 19

[-7, 19)

e) Números mayores que 9 y menores que 5.

Las otras formas de escribir esto son:

5 < x < 9

(5, 9)

The points (1,1) and (5,5) fall on a particular line. What is its equation in slope- intercept form

Answers

Answer:

y=x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-1)/(5-1)=4/4=1

slope is 1

y-y1=m(x-x1) where m=slope

y-1=1(x-1)

y-1=x-1

y=x-1+1

y=x

Answer:

y = x

Step-by-step explanation:

(1 , 1)

(5 , 5)

m = [tex]\frac{y}{x}[/tex]

m = [tex]\frac{4}{4}[/tex]

Solve for x
x^2-2x-2=0

Answers

I believe it’s x=1+√3,1−√3

What are the answers for these,

Answers

3.5 m = 350 cm

9.072 km = 9072 m

0.07 kg = 70 g

70.4 l = 70400 ml

79 m = 0.079 km

6 g = 6000 kg

5,870 m = 5.78 km

61,900 g = 61.9 kg

Roberto farms a tract of land that typically yields 69.6 kilograms of peas. A fertilizer manufacturer claims that its fertilizer will produce a 60% increase in the yield. What total amount of peas should Roberto expect from this tract of land if he applies the fertilizer? If necessary, round your answer to the nearest hundredth.

Answers

Answer:

Answer is 111.36 kilograms

Step-by-step explanation:

I hope it's helpful!

(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is​

Answers

Answer:

Given,

Weight of each apple =75 gm

Weight of each orange =40 gm

So,

Weight of x apples =75x gm

Weight of y oranges =40y gm

Thus,

Weight of x apples and y oranges =(75x+40y) gm

I hope it's helpful!

whats her errors and whats the soulution​

Answers

Answer:

she messed up at -17=34x

Step-by-step explanation:

she added 8x to each side but she was actually supposed to subtract

The error is 8(x - 3) + 7 = 2x(13) and -17 = 34x.

4 - 17 = -13, not 13

8x - 17 = 26x

-17 = 26x -8

-17 = 18x ( it should be like this, but this is still wrong because it should -26)

The solution is:

8(x - 3) + 7 = 2x(4 - 17)

8(x - 3) + 7 = 2x(-13)

8x - 24 + 7 = -26x

8x - 17 = -26x

8x + 26x = 17

34x = 17

x = 17/34

x = 1/2

Hope it helps!

Marion is driving between two towns that are close together. If she drives 1/5 the distance of the trip in 15 minutes, what is her rate per hour?

Answers

Answer: 75 minutes per hour.

Step-by-step explanation:

From the question, we are informed that Marion is driving between two towns that are close together and that she drives 1/5 the distance of the trip in 15 minutes.

The rate per hour will then be:

= 15 ÷ 1/5

= 15 × 5

= 75 minutes

The rate per hour will then be 75 minutes per hour.

Complete the table for the given rule. Rule: y=x-1/4

Answers

Answer:

i don't see the question, but i can help you

Step-by-step explanation:

PLS HELP!!

Solve for a side in right triangles

BC = ???

round your answer to the nearest hundredth

Answers

Answer:

39 centimeters

Step-by-step explanation:

I am very sorry if I'm wrong! ✿✿✿

Prolly wrong but I tried

What equation has a line passing through (-1,-4) with zero slope.

Answers

Answer:

y=-4

Step-by-step explanation:

The quadrilaterals JKLM and PQRS are similar.
Find the length x of PQ.
P
3
27
M
s
6
x
3.6
K
5
R
45

Answers

Answer:

I believe the answer is 45.

Step-by-step explanation:

This is just my opinion. However I could be wrong.

Answer:

5.4

Step-by-step explanation:

Scale factor = 2.7/3 = 0.9

x = 6*0.9 = 5.4


Question 2
Evaluate the following function:
f(x) = 7x2 + 8x + 20 for f(2)
type the numerical value for your answer

Answers

Answer:

64

Step-by-step explanation:

We have the function f(x) 7x^2 + 8x + 20 and are asked to solve it.

Since we know that x equals 2. We can substitute 2 for every x in the expression.

7(2)^2 + 8(2) + 20

First do the exponent :

2^2

4

7(4) + 8(2) + 20

Multiply 7(4) and 8(2) :

7(4)

28

8(2)

16

28 + 16 + 20

64

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