If 3x + 2y = 10 and 2x + 3y = 15, find the value
of x+y.​

Answers

Answer 1

Answer:

x+y=5

Step-by-step explanation:

Isolate y in the first equation:

3x+ 2y = 10

2y = 10 - 3x

y= (10 - 3x)/2

substitute this value of y into the second equation:

2x + 3 ((10 - 3x)/2) = 15

now solve for x:

2x + 3/2 (10 - 3x) =15

2x + 15 - 9/2x = 15

-5/2 x = 15 - 15

-5/2 x / (-5/2) = 0/(-5/2)

x=0

now use this value to solve for y:

y = (10 - 3(0))/2

y = 10/2

y = 5

now x+y

0+5=5


Related Questions

Translate this sentence into an equation.
108 is the product of Carlo's age and 6.

Answers

Answer:

Step-by-step explanation:

Let Carlo's age =  x

Equation: 6*x = 108

               6x = 108

Solution:

6x = 108

x = 108/6

x = 18

Carlo's age = 18 years

Answer:

Solution :-

Let the age of Carlo be x

[tex] \tt \: equation \longrightarrow \: 6x = 108[/tex]

Age

[tex] \tt \: 6x= 108[/tex]

[tex] \tt \: x \: = \dfrac{108}{6 } = 18[/tex]

which number is an integers
-3/4
1/5
2
42/3

Answers

integers are whole numbers so 2

Find the factor of 30

Answers

Step-by-step explanation:

The factors of number 30 are 1, 2, 3, 5, 6, 10, 15 and 30.

hope it helps!

Answer:

the factors of 30 are 1, 2, 3, 5, 6, 10

Step-by-step explanation:

hope this helps

please mark me as brainliest

Any help please thank you I appreciate it

Answers

Answer:

114.8 degrees

Step-by-step explanation:

supplementary angles basically means angles equal to 180 degrees

What is it
Simplify
5(6-3)+2

Answers

Answer:

Step-by-step explanation:

17

The correct answer is 17, you do what’s in parentheses first (6-3) = 3 then you would multiply bc the ( means to multiply. So multiply 5x3 =15 15 + 2= 17

please help me i need help bad

Answers

Answer:

Line segment A' B' has a length of 2 units, and line segment C' D' has a length of 4 units.

Step-by-step explanation:

All we need to do is count the units in between the line segments.

find the gretest number which devded by 181 and 236 leave a remainder of 5 in each case​

Answers

Answer:

The greatest number is 11

Step-by-step explanation:

Given

Dividends: 181 and 236

Remainder: 5

Required

Determine a divisor that satisfies the above condition

Let the required divisor be represented with x.

Since a remainder of 5 is expected, then x can divide (181 - 5) and (236 - 5) without remainders.

So, we have:

[tex]181 - 5 = 176[/tex]

[tex]236 - 5 = 231[/tex]

Next, we calculate the GCF of 176 and 231

[tex]176 = 2 * 2 * 2 * 2 * 11[/tex]

[tex]231 = 3 * 7 * 11[/tex]

The greatest common factor, GCT is:

[tex]GCF = 11[/tex]

Hence, the required divisor is 11

Solve the proportion.

x+1/×-1 = 14/20

A: - 3/17
B: 10/7
C: 7/10
D: -17/3​

Answers

14x+14=20x-20

-6x=-34

x=34/6=-17/3

D: -17/3​

Answer:

D

Step-by-step explanation:

x+1/x-1=14/20

so 20(x+1)=14(x-1)

20x+20=14x-14

20x-14x= -14-20

6x=-34

so x=-17/3

Explain how you found your answer

Answers

Answer:

let the total cost of a rug be x

then

30% of x =75

30/100*x =75

3x=750

x=750/3 = 250

Marc owe = 250-75 =175

Step-by-step explanation:

Order of Operations make it true

5 23 18 8 4 = 100

Answers

Answer:

Step-by-step explanation:

5 x (23-18) x (8-4)=100

5 x (23-18) x (8-4)=100 is the Order of Operations which make it true

What is Number system?

A number system is defined as a system of writing to express numbers.

We have to find the operations which make the value to be true.

The given numbers are 5, 23, 18, 8, and 4.

Let us use the operation addition, subtraction and addition.

Use the subtraction between twenty three and eight.

Use subtraction between eight and four.

5 x (23-18) x (8-4)=100

Hence, 5 x (23-18) x (8-4)=100 is the Order of Operations which make it true

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ3

Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio​

Answers

Answer:

the ratio:     6:1

Step-by-step explanation:

to make it as a ratio :

We will make 4 years as months

So 4x12 =48

then the ratio: 48:8

                        6:1

hope this helps

Rashawn knows the multiplications 6x4 and 2x4. How can he use their products to find 8x4?

Answers

Answer:

Since 6x4=24

and

2x4=8,

we can tell that these answers are common multiples of 8, and so 24 plus 8 equals 32.

Step-by-step explanation:

8x4=32

2.
(04.01) WILL GIVE BRAINLIEST

Which of the tables represents a function? (4 points)

Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7
Table A
Table B
Table C
Table D

Answers

Answer:

C

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

hope this helps

Please help me I’m desperate

Answers

Answer:

7/10:3/5=7/10×5/3=35/30=7/6

Answer:

5. 7/10 × 5/3

6. 3/5 ÷ 7/10

Step-by-step explanation:

5. 7/10 ÷ 3/5 = 7/10 × 5/3

6. 3/5 ÷ 7/10

A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Ella is making enough
crusts to use 9 cups of flour. How many cups of butter will she need?

Answers

Answer:

6 cups of butter because the ratio is 2/3 and if you keep with that you will get 6 cups ep-by-step explanation:

15r-15s=
can you help

Answers

Answer:

=15r−15s

or if it is a factor:

15(r−s)

What is the answer for this math problem

Answers

Answer:

The group of all ordered pairs lie on the line is (3, 7), (2, 6), (-2, 2) D

Step-by-step explanation:

To solve this type of question, Form the equation of the line and substitute the x-coordinate of each ordered pair to find y, if the value of y equal to the value of the y-coordinate of the point, then the point is on the line

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

From the given figure

∵ The line passes through points (-4, 0) and (0, 4)

x1 = -4 and y1 = 0

x2 = 0 and y2 = 4

→ Substitute them in the rule above

∵ m = [tex]\frac{4-0}{0--4}[/tex] = [tex]\frac{4}{0+4}[/tex] = [tex]\frac{4}{4}[/tex]

m = 1

∵ b is the value of y at x = 0

∵ y = 4 at x = 0

b = 4

→ Substitute the values of m and b in the form of the equation above

∴ y = 1(x) + 4

y = x + 4 ⇒ equation of the given line

Let us check every group

∵ The ordered pairs are (7, 3), (6, 2), (2, -2)

∵ y = x + 4

∵ x = 7

∵ y = 7 + 4 = 11

∵ y-coordinate = 3

∴ Point (7, 3) doesn't lie on the line

∵ The ordered pairs are (5, 1), (3, 7), (2, 6)

∵ x = 5

∴ y = 5 + 4 = 9

∵ y-coordinate = 1

∴ Point (5, 1) doesn't lie on the line

∵ The ordered pairs are (3, 7), (2, 6), (2, 2)

∵ x = 3

∴ y = 3 + 4 = 7

∵ y-coordinate = 7

∴ Point (3, 7) lies on the line

∵ x = 2

∴ y = 2 + 4 = 6

∵ y-coordinate = 6

∴ Point (2, 6) lies on the line

∵ x = 2

∴ y = 6

∵ y-coordinate = 2

∴ Point (2, 2) doesn't lie on the line

The ordered pairs are (3, 7), (2, 6), (-2, 2)

∵ x = 3

∴ y = 3 + 4 = 7

∵ y-coordinate = 7

Point (3, 7) lies on the line

∵ x = 2

∴ y = 2 + 4 = 6

∵ y-coordinate = 6

Point (2, 6) lies on the line

∵ x = -2

∴ y = -2 + 4 = 2

∵ y-coordinate = 2

Point (-2, 2) lies on the line

∵ The three ordered pairs lie on the line

The group of all ordered pairs lie on the line is (3, 7), (2, 6), (-2, 2)

∵ The ordered pairs are (1, 5), (-6, 2), (-7, -3)

∵ x = 1

∴ y = 1 + 4 = 5

∵ y-coordinate = 5

∴ Point (1, 5) lies on the line

∵ x = -6

∴ y = -6 + 4 = -2

∵ y-coordinate = 2

∴ Point (-6, 2) doesn't lie on the line

I don’t know how to do this

Answers

Answer:

Step-by-step explanation:

The first box should be 20.

The second box should be 40

The third box should be .2

The fourth box should be .6

A contractor is building a tower shaped like a tall rectangular prism. He is told that the dimensions of the tower must be 50 ft × 80 ft × 250 ft. The building is to have 20 floors with a 2.5 ft tall portion between each floor and for the roof. What is the volume of each floor of the building?

Answers

Answer: 50,000ft^3

Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor

what is the area of a cube each side is 6 cm​

Answers

Answer: 24.

Step-by-step explanation:

Answer:

A=126

hope that helps!!!!!!!!!!!

Graph the equation by plotting three points. If all three are correct, the line will appear. 2y = 5x + 11​

Answers

Answer: (-1,3) (-2, 0.5) (0,5.5)

Step-by-step explanation:

Find the sum. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar.
2/13 + 4/13

Answers

Answer:

6/13

Step-by-step explanation:

What is the answer to 3- a/7=-2 ?

Answers

Step-by-step explanation:

3 - a/7 = -2

a/7 = 5

Therefore a = 35.

PLEASE HELP IT DUE RIGHT NOW!! PLEASE EXPLAIN THE STEPS TO THIS TOO!!

Answers

Slope: (y2-y1)/(x2-x1)
(-2-0)/(2+6) = -2/8 = -1/4
Y intercept: when x = 0
Y intercept: (0,-1.5)
Solution: the answer is H

Answer: y int = -1.5

Slope = -1/4

Step-by-step explanation: y int is the point at which the line cross the y axis.

Slope = rise/run

Starting from the point on the left of the graph (-6,0) and going the the other point (2, -2) you can see the it rises -2 point. (0 to -2) the it runs 8 point. (-6 to 2).

Therefore the Slope = -2/8 or -1/4

There are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2pounds. This would fill and 4/9 containers. (3 points)

Answers

Step-by-step explanation:

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Given the line below, state the slope of the PARALLEL line. y=-8x + 10 what is the answer need help.

Answers

Step-by-step explanation:

the answer to this education is -8

Many ancient tombs were cut from limestone rock that contained uranium. Since most such tombs are not​ well-ventilated, they may contain radon gas. In one​ study, the radon levels in a sample of 12 tombs in a particular region were measured in becquerels per cubic meter (Bq/m3). For this​ data, assume that x(over-bar)= 3,469 Bq/m3 and s= 1,135 Bq/m3. Use this information to​ estimate, with 95% confidence, the mean level of radon exposure in tombs in the region. Interpret the resulting interval.

Answers

Answer:

95% confidence interval of the mean level of random exposure in tombs in the region.

(2746.868 , 4191.132)

Step-by-step explanation:

Step(i):-

Given sample size 'n'= 12

Mean of the sample  x⁻ = 3,469

and standard deviation of the sample 's' = 1,135

95% confidence intervals are determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} +t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

Degrees of freedom = n-1 = 12-1= 11

Step(ii):-

95% confidence intervals are determined by

[tex](3469- 2.201 \frac{1135}{\sqrt{12} } , 3469+2.201\frac{1135}{\sqrt{12} } )[/tex]

(  3469-722.132 , 3469 +722.132)

(2746.868 , 4191.132)

What is the missing length for this one???

Answers

Answer:

45√2

i am pretty sure this is it

Does anyone know the answers to the Geometry test? I need help with the answers on transformation and congruence

Answers

Answer:

We can surely help you on your geometry test. Please post the questions and our experts will gladly help you!

Please help thank u I appreciate it

Answers

9514 1404 393

Answer:

  m∠ADC = 86°

Step-by-step explanation:

The sum of angles making a straight angle is 180°, so we have ...

  (6x +52)° +(9x +23)° = 180°

  15x = 105 . . . . . subtract 75°, collect terms, divide by °

  x = 7 . . . . . . . . . divide by 15

m∠ADC = (9·7 +23)°

m∠ADC = 86°

∠ADC = 104°

Here given that ,

Line BDA is a straight line Angles on the line BDA are BDC & ADC

As we know that , sum of angles on a straight line is always equal to 180° . So ,

=> ( 6x + 52 ) ° + ( 9x + 23 ) ° = 180°

=> 15x + 75° = 180°

=> 15x = 180° - 75°

=> 15x = 105°

=> x = 105°/15

=> x = 7°

Now , by the given information , we need to find the value of ADC

ADC = ( 9x + 23 ) °

Now substituting the value of x ,

⇒ ∠ADC = 9x + 23

⇒ ∠ADC = 9 ( 7 ) + 23

⇒ ∠ADC = 63 + 23

ADC = 86°

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