Using a system of equations, find two numbers whose sum is 26 and whose difference is 12.

Answers

Answer 1

answer:

sum: 19 + 7 = 26

difference: 19 - 7 = 12

step-by-step explanation:

the sum of x and y is 26. in other words, x plus y equals 26 and can be written as equation a:

x + y = 26

the difference between x and y is 12. in other words, x minus y equals 12 and can be written as equation b:

x - y = 12

now solve equation b for x to get the revised equation b:

x - y = 12

x = 12 + y

then substitute x in equation a from the revised equation b and then solve for y:

x + y = 26

12 + y + y = 26

12 + 2y = 26

2y = 14

y = 7

now we know y is 7. this means that we can substitute y for 7 in equation a and solve for x:

x + y = 26

x + 7 = 26

X = 19

good luck :)

hopefully, this helps

have a great day !!


Related Questions

3(2x-4)>-12 solve for x?

Answers

Answer:

x > 0

Step-by-step explanation:

6x -12 > -12

6x > -12 +12

6x > 0

x > 0/6

x > 0

ben eats approximately 2,400 calories per day, his wife sarah eats 5/8 as much, how many calories does sarah eat per day?

Answers

Answer:

1,500 calories

Step-by-step explanation:

2,400 ÷ 8 = 300

300 × 5 = 1,500

What is the quotient of
5/7 divided by 3 1/3?

Answers

Answer:

Step-by-step explanation:

5/7 ÷ 3 1/3 = 5/7 ÷ 10/3

                 [tex]= \frac{5}{7}* \frac{3}{10}\\\\= \frac{1}{7}* \frac{3}{2}\\\\= \frac{3}{14}[/tex]

Use properties of operations to write an equivalent expression by combining like terms.

7h - 3h

Answers

Answer: 4h

Step-by-step explanation:

Please help me with this asap ! Find the volume !

Answers

Answer:

volume = length×breadth×height

3×4×4=48in cube

PLEASE ANSWER

Answer Choices:
1# 28.26
2# 15.7
3# 12.56
4# 14.13

Answers

Answer: 2

Step-by-step explanation: because it timed the seconde one so that is why its 2

hope the answer helped :)

The answer is the second one because it matches it

who is correct alex or jo

Answers

Answer:

D

Step-by-step explanation:

Neither Alex nor Jo are correct, because surface area is a 2-dimensional quantity, so it would be given in just square units, not linear nor cubic.

Only 1/3 of the students who run in each event win medals at the track meet if nine students are running the mile how many of them will win a medal

Answers

1/3 of 9 is 3. 3 will win the mile

Answer:

I am not too sure but I think 1/3

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST
Points (-2, 4) and (-1,1) lie on the same line. Which of the following equations represents the line?
A. y - 1 = -}(x + 1)
B. y - 1 = -3(x + 1)
C. y - 1 = -}(x - 1)
D. y - 1 = -3(x - 1)

Answers

Answer:

A

Step-by-step explanation:

There are 2 ways you can do this. I'll show you one!

1. Find the Slope

      a. use the slope formla: (y1-y2)/(x1-x2)

               (4-1)/(-2-1)= 3/-3= -1

      This eliminates both B and D, as their slopes are -3

2. Now analyze the last 2 equations

        a. A goes through the ordered pair (-1, 1)

        b. C goes through the ordered pair (1, 1)

        The line we want goes through (-1, 1), so  A is the correct answer!

[tex]y-1=-3(x+1)[/tex] equation represents the line.

What is point slope form?

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

Given points

[tex](x_{1} ,y_{1} )[/tex] = (-1, 1)

[tex](x_{2} ,y_{2} )[/tex] = (-2, 4)

Using point slope form

We know that the equation of line passing through points [tex](x_{1} ,y_{1} )[/tex] and  [tex](x_{2} ,y_{2} )[/tex] is

[tex]y-y_{1} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }( x-x_{1})[/tex]

Therefore equation of line passing through points (-1, 1) and  (-2, 4) is

[tex]y-1=\frac{4-1}{-2+1}(x-(-1))[/tex]

[tex]y-1=\frac{3}{-1} (x+1)[/tex]

[tex]y-1=-3(x+1)[/tex]

Option B is correct.

Find out more information about point-slope form here

brainly.com/question/24436844

#SPJ2

Anika is 7 years older than Kit. If Kit is k years old, how old is Anika?

Answers

Answer:

k+7

Step-by-step explanation:

because k is the age of kit so Anika is 7 years older, so u have to add

sorry if I'm wrong

An artist makes paperweights in the shape of square pyramids. The paperweights are filled with yellow sand. How much sand does the artist need to fill this​ paperweight?

Answers

Answer: he needs to mesure

Step-by-step explanation:

A rectangular cake measures 12 inches wide, 15 inches long, and 4 inches high.

If the bottom of the cake is not frosted, how much frosting will be needed?

Answers

Answer:

B. 180

Step-by-step explanation:

No links! Please help I dont have much more time please

Answers

Answer:

1: The one vertical from 104° is 104°

2:The one near the corner is 20°

3: The two angles right next to 104° are 76°

Step-by-step explanation:

1: Vertical angle are always equal to each other.

2: All sides of the triangle must equal 180° in all. If you add 56° + 104° it equals 160°. Now subtract 180° - 160°. You get 20°.

3: All straight angles equal 180° in all. So, if you subtract 180° from 104° you will get 76°. And again, these two angles are vertical so they will both be 76°.

I hope this helps! Let me know if you have any questions! :)

what is the answer to this ? You have to simplify 4(- 3n - 7)

Answers

Answer:

-12n-28

Step-by-step explanation:

4(-3n-7)

first- use the distribution property (4*-3n and 4*-7)

so, -12n-28

Answer:

-12n -28

Step-by-step explanation:

4(- 3n - 7)

-12n -28

A line that is parallel to the line y=3x-8 and passes through the point (-1,6)
The equation of the parallel line is... ​

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

If the line is parallel, that means it will have the same slope. So, the line will also have a slope of 3.

Using y = mx + b, plug in the slope and given point, and solve for b:

y = mx + b

6 = 3(-1) + b

6 = -3 + b

9 = b

Plug in the slope and b into y = mx + b

y = 3x + 9

So, the equation of the parallel line is y = 3x + 9

Nathan jogged 2 /1 4 m i l e s o n M o n d a y . W e d n e s d a y h e j o g g e d 3 /1 3 m i l e s , a n d F r i d a y , h e j o g g e d 2 / 2 3 m i l e s . How far did Nathan jog altogether?

Answers

Answer: 8 1/4 miles

Step-by-step explanation:

I think your question isn't well written and should be:

Nathan jogged 2 1/4 miles on Monday. On Wednesday, he jogged 3 1/3 miles and on Friday, he jogged 2 2/3 miles. How far did Nathan jog altogether?

This will be:

= 2 1/4 + 3 1/3 + 2 2/3

= 2 3/12 + 3 4/12 + 2 8/12

= 7 15/12

= 7 + 1 3/12

= 8 3/12

= 8 1/4 miles

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

bat dalawa po iyang gi pa question nyo

A small business produces 5,000 hand-made tiles per
week. The owner estimates that fewer than 120 of the
tiles made each week are defective. In a random sample of
250 tiles, 5 have defects. Determine whether the owner's
estimate is likely to be accurate. Explain.

Answers

Answer:

3 points

Step-by-step explanation:

69 96

60

06

10 x (12+5) is equal to what expression

Answers

Answer:

170

Step-by-step explanation:

120+50=170

Rewrite with only sin x and cos x.

sin 3x - cos x

Answers

Answer:

sin (3 x) - cos (x)=

= sin (2x + x) - cos (x)=

= sin 2x * cos x + cos 2 x * sin x - cos x = ( using additional formulas )

= 2 sin x cos² x + ( cos² x - sin² x ) sin x - cos x =

= 2 sin x cos² x + ( 1 - sin² x - sin² x ) sin x - cos x =

= 2 sin x cos² x + ( 1 - 2 sin² x ) sin x - cos x =

= 2 sin x cos² x + sin x  - 2 sin³ x - cos x

Answer: B )

Step-by-step explanation:

what is the ordered pair for -x-4y=-10

Answers

Maybe I’m wrong but I tried... I added 4y to both sides and added -10 + 4y and got -6y and I bring down the -X and divided it by both sides and divided it to the -6y and my answer is -6y


Suki rode her bike 4/5 mile. Claire rode her bike
6/7 mile. Who rode farther?. Hi

Answers

Answer:

i Beife  they rode equal distances

Step-by-step explanation:

1. On Wednesday you saw 12 robins on one tree and
7 on another tree. How many robins did you see
altogether?
2. Your friends just gave you 12 sparkle markers, now
you have 19! How many did you have before your
friends gave you 12 more?
3. You picked 8 flowers and your friend picked 17
flowers. How many more flowers did your friend
pick?
4. You have 17 birthday gifts! 9 came from your
family, the rest came from your friends. How many
gifts did your friends give you?
5. You saved 17 dimes and your brother saved 8
dimes. How many more dimes did you save?

Answers

Answer:

1. 19

2. 7

3. 9

4. 8

5. 9

+ please mark brainlest?!

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HELP !!!!choose the correct fraction for A,B,C,D.

Answers

Step-by-step explanation:

Here, in number lines the fraction are,

A = -4/6 = -2/3

B = -3/6 = -1/2

C = 1/6

D = 5/6

What is Dario's hourly salary?

Answers

Answer:

Dario's hourly salary

is $11

A car is purchase at $20000.The value of the car depreciates at 12.5% a year. What will the value of the car be to the nearest cent after 11 years

Answers

Answer: $4603.82

Step-by-step explanation:

Given

The initial cost of a car is [tex]P=\$20,000[/tex]

The rate of depreciation is [tex]i=12.5\%[/tex]

Depreciated value after n years is given by

[tex]\Rightarrow P(1-\frac{i}{100})^n\quad \text{where n=no. of years}[/tex]

Value after 11 years

[tex]\Rightarrow 20,000(1-\frac{12.5}{100})^{11}\\\\\Rightarrow 20000(0.875)^{11}=\$4603.82[/tex]

Rate of change (-4,6)

Answers

Answer:

The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Step-by-step explanation:

pls help me with this problem​

Answers

Answer:

67

Step-by-step explanation:

Use the triangle angle sum theorem. All interior angles of a triangle sum to 180 degrees. Angle b = 23, angle c = 90 (notice the marking in the triangle), angle a is what we need to find. Set the sum of all three of these equal to 180 to solve for angle a.

23+90+angle a= 180. Combine like terms

113 + angle a = 180. Subtract 113 from both sides.

Angle a = 67

Answer:

67⁰

Step-by-step explanation:

According to the Triangle Sum Theorem, all three angles sum up to 180⁰.

<A + <B + <C = 180⁰

You are given the two angles. To find the third or the missing angle you will use the triangle sum thereom.

<A + <B + <C = 180⁰

90⁰ + 23⁰ + <C = 180⁰

113⁰ + <C = 180⁰

113⁰ - 113⁰ + <C = 180⁰ - 113⁰

<C = 67⁰

Hope this helps, thank you :) !!

When is the best time to use square roots to solve a quadratic? Choose the one BEST
answer.
A. Perfect square trinomials
B. Difference of squares
C. When there is no b term
D. When the constants are perfect squares

Answers

Answer: D, When the constants are perfect squares.

Step-by-step explanation:

the “best” method whenever the quadratic equation only contains x2 terms. That implies no presence of any x term being raised to the first power somewhere in the equation.

Hopefully this helps!

Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8,9}
Which answer shows the intersection of A and B?

{1,2,3,4,5,6,7,8,9}
{1,2,3,4,6,7,8,9}
{2,4,8}
{5}

Answers

Answer:

5

Step-by-step explanation:

5 is in the middle between each set of numbers making it the intersecting number

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