Determine the solution, if it exists, for each system of linear equations step by step.

a.

(3x + 2y = 6
(13x + 2y = 3

b.

(6x+2y = 8
(3x - y = -2

Answers

Answer 1

Answer:

A. x = -3/10 , y = 69/20

B. x = 1/2 , y = 5/2

Step-by-step explanation:

A]

3x + 2y = 6......eq1

13x + 2y = 3.......eq2

From eq 2 - eq 1

10x = -3

x = -3/10

So,

3x + 2y = 6

3(-3/10) + 2y = 6

y = 69/20

B]

6x+2y = 8.....eq1

3x - y = -2.....eq2

eq2 x 2 and add in 1

12x = 6

x = 1/2

So,

6x+2y = 8

y = 5/2


Related Questions

168_138_123_ _ _ _ _ _ me ayudan por favor?✅​

Answers

paso a paso

Step-by-step explanation:

tienes que saber cuanto le quito al otro por que

el primero es 168 y el otro es 138 cubro le quito 30 y el otro

es 123 igual tienes que quitarle tal ves es sumarle primero y después 2 de restarle

espero que te sirva

Pls answer this question

Answers

Answer:

2.5 cm

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

acute isosceles
obtuse isosceles
acute scalene
equiangular equilateral

Answers

Answer:

obtuse isosceles

Step-by-step explanation:

isosceles angles

Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.

Answers

Answer:

x=9.957

2(2.7182823)x=400

x=9.957

Answer:

1.766

Step-by-step explanation:

got it right on the test

8 less than a number is less than or equal to 5 ​

Answers

Answer:

x-8<_5

Step-by-step explanation:

In the expression a = k/b , what is k?
a.
inverse variation
c.
constant of variation
b.
direct variation
d.
the solution

Answers

Answer:

C= constant of variation

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Chad bought 8 dozen note pads for his office. The note pads were divided equally into 6 boxes. How many note pads are in each box? (Hint: a dozen is equal to 12) *

Answers

16 note pads
8 * 12 = 96
96 / 6 = 16

help meh :) thank you!!!!!!!!!!1

Answers

Answer:

a) 14

=14 x 16 ounces

= 224

b) 18.2 x 1 kilogram

= 18.2 x 1000 grams

= 18200

Step-by-step explanation:

Please help
I will make Brainleist if you give correct answer ​

Answers

Answer:

A. 2

Step-by-step explanation:

y = 2m + 6

          - _2_

     _2m_ =  _4_

        2           2

m = 2

MARK ME BRAINLIEST!!!!!!!!

In a right triangle, the leg adjacent to an angle of 23° is 12 cm long. How long is the leg opposite the 23° angle, to the nearest tenth?

Answers

Answer:

tan55 = x/43

x = tan(55) * 43

x = 61.4 cm

Step-by-step explanation:

The length of the leg opposite the 23° angle, to the nearest tenth, will be 5.1 cm.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In a right triangle, the leg adjacent to an angle of 23° is 12 cm long. The triangle is given below.

Let 'x' be the opposite side of the angle 23°. Then the value of the variable 'x' is given as,

tan 23° = x / 12

Simplify the equation, then we have

tan 23° = x / 12

0.4244 = x / 12

x = 0.4244 · 12

x = 5.1 cm

The length of the leg opposite the 23° angle, to the nearest tenth, will be 5.1 cm.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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in desperation it divided 4 x 6 -12 which operational will do you do first addition be subtraction multiplication division

what the answer

pls answer pls​

Answers

Answer:24-12=12

Step-by-step explanation:

Solve the system by elimination

Answers

9514 1404 393

Answer:

  5)  (x, y) = (10, -1)

  6)  (x, y) = (5, 6)

Step-by-step explanation:

5) y coefficients are opposites, so y can be eliminated by adding the two equations.

  (x -y) +(2x +y) = (11) +(19)

  3x = 30 . . . . . simplify

  x = 10 . . . . . . . divide by 3

Using the second equation, we can find y:

  2(10) +y = 19

  y = -1 . . . . . subtract 20

The solution is (x, y) = (10, -1).

__

6) The x-coefficients are the same, so we can eliminate the x-term by subtracting the second equation from the first. We choose to do it that way so the y-coefficient ends up positive.

  (-6x +6y) -(-6x +3y) = (6) -(-12)

  3y = 18 . . . . . . simplify

  y = 6 . . . . . . . . divide by 6

Using the first equation to find x, we have ...

  -6x +6(6) = 6

  x -6 = -1 . . . . . . . divide by -6

  x = 5 . . . . . . . . . add 6

The solution is (x, y) = (5, 6).

I’ll GIVE YOU BRAINLYIEST1. A triangle has coordinates at X(3, 7), Y(6, 7) , and Z(4, 2) . Dixie created transformed the triangle so that the new coordinates were X(- 3, - 7) , Y^ prime (-6,-7) and Z^ prime (-4,-2) . Which rule best describes this transformation?

A. (x, y)—>(x, -y)
B. (x, y)—>(-x, -y)
C. (x, y)—>(-x, y)
D. (x, y)—>(x - 6, y - 2)

Answers

Answer:

B. (x, y) → (-x,-y)

This rule is given triangle is reflection  about origin or

 Rotation clockwise or counter clock wise with 180°

Step-by-step explanation:

Explanation:-

A triangle has coordinates at X(3,7),Y(6,7) and Z(4,2)

The Rule ( x, y)→ ( - x, -y)

This rule is given triangle is reflection  about origin or Rotation clockwise or counter clock wise with 180°

X( 3,7) → X¹ ( -3,-7)

Y(6,7) → Y¹ (-6,-7)

Z(4,2) → Z¹( -4 ,-2)

What does 4/5 minus 1/5 equal

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

This one is easier than others because it has the same denominator (bottom number).

All you have to do is subtract the numerators (top numbers) and keep the denominators the same!

4/5 - 1/5 = 3/5

I hope this helps, and have a great day!

What is the result of converting 20 ounces into pounds remember that 1 lbs. 16 oz.

Answers

The answer is 1.25 pounds

Find the area of the kite.
HELP ME ASAP​

Answers

Answer: 2592in

Step-by-step explanation: To find the area, we multiply all the numbers together.

Or... you can multiply them separately and multiply the product. Look below.

6 x 6 = 36

4 x 18 = 72

72 x 36 = 2592in


Describe this transformation in words (x,y) + (x-7, y-8)

Answers

Answer:

x translated 7 units to left and y translated 8 units down

Step-by-step explanation:

9514 1404 393

Answer:

  translates the figure 7 units left and 8 units down

Step-by-step explanation:

You know that increases in x-coordinate move a point to the right. So, decreasing the x-coordinate by 7 units will move a point to the left by 7 units.

Likewise, increasing the y-coordinate will move a point up. So, decreasing the y-coordinate by 8 units moves the point down 8 units.

The transformation ...

  (x, y) ⇒ (x -7, y -8)

translates the figure 7 units left and 8 units down.

Write the equation of the line that has a slope of ½ and a y-intercept of -2.

Answers

Answer:

y = 1/2x -2

Step-by-step explanation:

y=mx+b

"m" is the slope, in this case 1/2

"b" is the y intercept (the point on the y-axis), which in this case is -2

Answer:

y = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

Hope I could help.

Pls help with my question

Answers

Answer:

number 1 : 5/12

Step-by-step explanation:

Answer:

1/2 or 6/12

Step-by-step explanation:

By multiplying the numerator and denominator together, we get 6/12, and when we simplify that we get 1/2, our answer.

Help with this question

Answers

I think times by 3, plus 2

Can anyone plz help me with this math equation? I’m not so good at math and I would really appreciate it❤️

Answers

Answer:

49+112=161

Step-by-step explanation:

first find the base b^2 which is 7^2 which is 49, then find one of the side then * 4 which is 7*8/2*4=112, add them together gets 161. Done!

Subtract and then simplify

Answers

What am I subtracting and simplifying?

Answer:

simplify and subtract what

Step-by-step explanation:

The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books.

Answers

Answer:

whats the question?

Step-by-step explanation:

please help me asap ​

Answers

Answer:

108

Step-by-step explanation:

since 108+72 is 180 and angles on a line is 180

108 have a good day!

Mint! Moving, sacrifice, $52,900. 555-4231
If the newspaper charges $48 for the first three lines and $5 for each extra line, how much will this ad cost Leslie?

Answers

Answer:$53

Step-by-step explanation:

The correct Answer is $53

Mr Prothero places £3003 into a
savings account and gains 9%
interest per annum. How much
money is in the account after 2
year?

Answers

Answer:

£3,543.54

Step-by-step explanation:

Amount after 2 years = Principal + interest

Get the interest

Interest = PRT/100

Interest = 3003 * 9 * 2/100

Interest = 3003 * 18/100

Interest  = 30.03 * 18

Interest  = 540.54

Amount after 2 years = 3003 + 540.54

Amount after 2 years = £3,543.54

the length of a line segment is 8 units.one end point is p(5,-3). which of these could be the other endpoint
A(-3,-3)
B(-3,-11)
C(5,8)
D(8,-3)

Answers

I think your answer is A

The other endpoint is (-3, -3).

Option A is the correct answer.

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance =  [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) and (c, d) are the two endpoints.

We have,

Distance between the points = 8 units

One endpoint = (5, -3) = (a, b)

Another endpoint = (c, d)

Now,

Substituting the values.

Distance =  [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

Now,

We have to check each point.

(-3,-3) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(-3 - 5)^2 + (-3 + 3)^2}[/tex]

8 = [tex]\sqrt{(-8)^2[/tex]

8 = √64

8 = 8

This is true

(-3,-11) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(-3 - 5)^2 + (-11 + 3)^2}[/tex]

This is not true.

(5,8) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(5 - 5)^2 + (8 + 3)^2}[/tex]

This is not true.

(8,-3) = (c, d)

8 = [tex]\sqrt{(c - 5)^2 + (d + 3)^2}[/tex]

8 = [tex]\sqrt{(8 - 5)^2 + (-3 + 3)^2}[/tex]

This is not true.

Thus,

(-3,-3) is the other endpoint.

Learn more about distance of a line here:

https://brainly.com/question/14645718

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Find the length of the side of a square with an area of 36.
O A. 1.296
B. 18
C. 36
O D. 6
PLEASE HELP

Answers

The correct answer is A
ANSWER
D) 6
Let me know if that helped

Which of the following best explains why President Nixon referred to
Americans who supported his policies as the "silent majority"?
A. He believed his supporters didn't vote in national elections.
B. He believed there were more people in America who agreed with
him than didn't agree with him.
C. He knew Americans didn't trust the government because of the
credibility gap.
O D. He saw that many more people were demonstrating on the streets
in his favor rather than against him.

Answers

the answer is B on edge

What is f(4) for the function f(x) = 7x +3? f(4) = ?​

Answers

Answer:

72

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i took the test

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