Solve the system of equations:
2x + 3y = 10
x - 2y = -2

(2,1)
(0,1)
(0,2)
(2,2)
No solution​

Answers

Answer 1

Answer:

(2,2)

Step-by-step explanation:

2x+3y=10

x−2y=−2

​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.

2x+3y=10,x−2y=−2

To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.

2x+3y=10,2x+2(−2)y=2(−2)

Simplify.

2x+3y=10,2x−4y=−4

Subtract 2x−4y=−4 from 2x+3y=10 by subtracting like terms on each side of the equal sign.

2x−2x+3y+4y=10+4

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

3y+4y=10+4

Add 3y to 4y.

7y=10+4

Add 10 to 4.

7y=14

Divide both sides by 7.

y=2

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

x−2×2=−2

Multiply −2 times 2.

x−4=−2

Add 4 to both sides of the equation.

x=2

The system is now solved.

x=2,y=2

Correct choice is D) 2,2


Related Questions

I need this done right now and can you help me with other question. question in picture

Answers

Answer:

1 4/5

Step-by-step explanation:

x + 4 / 10 - x and it has given you that x = 5. Basically plug 5 in the x place and solve.

x + 4 / 10 - x

5 + 4 / 10 - 5

9 / 5

1 4/5 (Option D)

Hope this helps, thank you :) !!

Find the value of x so that the ratios are equivalent 9:x and 54:8
i cant seem to get it i tried 48 but it said it was wrong

Answers

Answer:

The answer is 48

Step-by-step explanation:

What is the slope of the line represented by this equation?

-3x + 8y = 12

Answers

Answer:

The slope of the line is: y = 1/6x + 2/3

Step-by-step explanation:

HOPE THIS HELPS! PLEASE GIVE BRAINLIEST!

Answer:

-3/8

Step-by-step explanation:

I got the answer right :)

I need serious help

Answers

Answer:

a. 3

b. 12

c. 4

Step-by-step explanation:

the equation is y= -3x+ 12, so the slope says you will lose 3 gallons of gas every hour

Set A contains 35 elements and set B contains 22 elements. If there are 40 elements in (A ∪ B) then how many elements are in (A ∩ B)?

Answers

Answer:

17

Step-by-step explanation:

The computation of the number of elements are in (A ∩ B) is shown below;

Given that

Set A contains 35 elements

And, set B contains 22 elements

Now if there are 40 elements in (A ∪ B)

So, the number of elements are in (A ∩ B) is

= 35 + 22 - 40

= 17

Colleen earns $5 for each hour of yard work. Write an equation that shows the relationship between the time spent x and the amount earned y.

Write your answer as an equation with y first, followed by an equals sign

Answers

Answer:

Easy

Step-by-step explanation:

Y=5x

I hope this helps

An event that is made up of two or more outcomes is called_______

Answers

Answer:

Compound Events

Step-by-step explanation:

Segment AB and segment CD intersect at point E. Segment AC and segment DB are parallel. If m∠A=41m∠A=41o and m∠D=56m∠D=56o, find the m∠AECm∠AEC.

Answers

Answer:

m∠AEC = 83°

Step-by-step explanation:

∠C and ∠D are alternate angles and are congruent because segment AC is parallel to DB

Therefore, m∠C = 56°

Sum of measures of angles of a triangle is 180.

So,  m∠A + m∠C + m∠AEC = 180  

41 + 56 + m∠AEC = 180

m∠AEC  + 97 = 180

m∠AEC = 83°

Give an example of two other body systems that work together, and explain how they support each other

Answers

Answer:

Two systems that work very closely together are our cardiovascular and respiratory systems. The cardiovascular system includes your heart and blood vessels, which function to remove deoxygenated blood from and return oxygenated blood throughout your body. ... The heart then sends the oxygenated blood out to the body.

Step-by-step explanation:

Answer:

Two systems that work very closely together are our cardiovascular and respiratory systems. The cardiovascular system includes your heart and blood vessels, which function to remove deoxygenated blood from and return oxygenated blood throughout your body. ... The heart then sends the oxygenated blood out to the body.

Step-by-step explanation:

What is the sum of 7 3/16+3 3/4

Answers

Answer:

10.9375

Step-by-step explanation:

Answer:

10.9375

Step-by-step explanation:

2.5 more than quotient of a and 4 is b

Answers

answer:

a/4 + 2.5 = b

step-by-step explanation:

2.5 more than would mean it is being addedquotient means they are being divided"is" means it is after the equal sign

PLEASE HELP

If 45 girls participated in basketball, then how many students
are in the girls athletics program?

Answers

Answer:

150

Step-by-step explanation:

Let there are 'x' girls. According to the given chart, 30% of the total girls participitated in basketball. As well as, we are provided with the statement '45 girls participated in basketball'

=> 30% of x = 45

=> 30/100 × x = 45

=> x = 45 x 100/30

=> x = 150

A church is packing Thanksgiving baskets. Each basket weighs 30 pounds. Here are two situations. For each situation, write an equation to represent the situation. If you get stuck, consider drawing a diagram. Each basket contains 3 identical bags of stuffing and a 6-pound bag of rice. Each basket contains 3 boxes. Each box contains a 6-pound bag of rice and a bag of stuffing. The bags of stuffing are all identical.

Answers

Answer:

3x + 6 = 30

Step-by-step explanation:

Solve the whole problem i give brainliest please help me.

Answers

Answer:

The inequality will be $75x + $25 ≤ $340

and the amount of days that she can afford the vehicle is 4.2

Step-by-step explanation:

if you subtract 25 from both sides, you'll get

75x ≤ 315

and when you divide both sides by 75, you'll get 4.2, or 4 days

Pls help me ASAP and ill give brainliest

Answers

Answer:

The answer is A

find the slope of the line that passes through 10, -8 1,12

Answers

Answer:

im really bad at math but here

Step-by-step explanation:

hi my  

PLEASE HELP!!! Find the values of x and y for which the lines are parallel.

Answers

Answer:

x = 68

y = 72

Step-by-step explanation:

if the lines are parallel, then x-3 = 65

x = 68

(68 - 3) + 46 + y - 3 = 180

y = 72

plsss help i’ll give brainly...but pls give a correct answer

Answers

Answer:

3

Step-by-step explanation:

Terms are separated by symbols for operations (like plus, minus, multiply, divide.)

So your terms would be

8y

+z

-6

PLEASEEE HELPPP :((((

Answers

Answer:

1. 15

2. -30

3. -67

4. 28

Your welcome :)

Step-by-step explanation:

Answer:

15 degrees above zero = 15

30 degrees below zero = -30

67 degrees below zero = -67

28 degrees above zero = 28

Step-by-step explanation:

HOPE THIS HELPS!

Select the polynomials that are a difference of squares. Thank you so much for helping me!


y^4−2

25m^2n^4−1

p^8−q^4

16x^2−24

Answers

Answer:

a

Step-by-step explanation:

Select the polynomials that are a difference of squares. Thank you so much for helping me!

Please help what is 15 2/3

Answers

Answer:

its

47/3 i can show u more steps how did i do it

Answer:

47/3

Step-by-step explanation:

Decimal form = 15.667

Find this by multiplying 3 by 15, then adding it by 2. That is now your numerator.

Five years ago, Charlie was twice older than Priya. What are their ages now if in 3 years the um of their ages will be 76?

Answers

5 because it is sumetacal to number for resistance

Answer:

Charlie is 45 and Priya is 25

Step-by-step explanation:

Answer:

present age of charlie is  45 years

present age of priya is  25 years

Step-by-step explanation:

Let start from five years ago

Let at that age of Priya was x years

given that

Charlie was twice older than Priya

age of Charlie = 2x

_____________________________________________

present age of charlie = age 5 years ago + 5 years = 2x + 5

present age of priya = age of priya  5 years ago + 5 years x + 5 = x + 5

_________________________________________________

age of charlie 3 years from now = present age of charlie + 3 years

age of charlie 3 years from now =2x + 5 + 3 = 2x + 8

age of priya 3 years from now = present age of priya + 3 years

age of priya 3 years from now =x + 5 + 3 = x + 8

Given that

in 3 years the sum of their ages will be 76

thus

sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76

=> 3x + 16 = 76

=> 3x = 76-16 = 60

=> x = 60/3 = 20

Thus,

present age of charlie =  2x + 5 = 2*20 + 5 = 45 years

present age of priya = x + 5 = 20 + 5 = 25 years

What type of graph would have the title, "Favorite TV Show"?

bar graph
line graph
line plot
stem-and-leaf plot

Answers

Answer:

line graph

Step-by-step explanation:

line graph

Answer:

bar graph

Step-by-step explanation:

thats what i'm guessing because a bar graphs compares categories

What number would you add to each side of the inequality to solve:

13 < 4n - 14.4 ?

Answers

13 < 4n - 14.4

13 + 14.4 < 4n - 14.4 + 14.4

27.4 < 4n + 0

27.4 < 4n

27.4 / 4 < 4n / 4

6.85 < 4n / 4

6.85 < n * (4 / 4)

6.85 < n * (1)

6.85 < n


>>>the final answer is: n > 6.85

HELP I WILL MARK BRAINLIST

Answers

Answer:

D

Step-by-step explanation:

The zeros are the x-intercepts.

The parabola intercepts the graph at (0,0) and (4,0)

Answer:

D

Step-by-step explanation:

its the x intercepts

6. What is the center and the radius ( x + 1)^2 + (y - 5)^2 = 2^2
Center (-1,-5) radius= 2
Center (1,-5) radius= 2
Center (-1, 5) radius= 4
Center (-1, 5) radius= 2

Answers

Answer:

The equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where h, k, is the center and r is the radius.

So, in this case: the center is (-1, 5) and the radius is 2.

Let me know if this helps!

In ΔRST, the measure of ∠T=90°, ST = 3.1 feet, and TR = 7 feet. Find the measure of ∠S to the nearest tenth of a degree.

Answers

Answer:

66.1

Step-by-step explanation:

Answer:

S=66.1135≈66.1  ∘

STEP BY STEP : Deltamath

We’re getting married bro

Answers

Answer:

It's not that hard so lets get a divorce bro

Step-by-step explanation:

need this asap please

Answers

Answer: I drew on the picture, don’t worry it’s not a scam

Step-by-step explanation:

HELP ME PLS WILL MARK BRAINLISTT!!!!

Answers

Answer:

4,4

Step-by-step explanation:

Answer:

(5,3)

Step-by-step explanation:

visualize it on a graph

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