Find the solution of the system of equations.
2x+3y= -4
x + 9y = 13

Answers

Answer 1

Answer:

(-5,2)

Step-by-step explanation:

Using elimination:

Multiply x+9y=13 by -2 which would equal -2x-18y=-26

Then you add the two question together

2x+3y=-4  +  -2x-18y=-26

Since 2x-2x=0, you can cross them out

3y+(-18y)= -15y

-4+-26 =-30

You are now left with -15y=-30

Then you divide both by -15

Your answer is y=2, now you need to find x by plugging y into one of the equations  

x+9(2)=13

x+18=13

Subtract 18 from both sides

x=-5

(sorry if this is confusing or too long)


Related Questions

The mean of 5 numbers is 11. the numbers are in the ratio 1:2:3:4:5 find the smallest number?

Answers

The smallest number is x = 11/3. The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.

Given that the mean of 5 numbers is 11. The numbers are in the ratio 1:2:3:4:5. We need to find the smallest number. We can start solving the problem by following these steps:

Step 1: Let us assume the smallest number to be x.

Step 2: According to the question, the numbers are in the ratio 1:2:3:4:5. Hence, the other four numbers can be written as 2x, 3x, 4x, and 5x.

Step 3: The mean of these 5 numbers is given as 11.

Therefore, we can write:(x + 2x + 3x + 4x + 5x)/5 = 11.

Step 4: Simplifying the above equation, we get:15x/5 = 11x = 11/3.

Step 5: Therefore, the smallest number is x = 11/3.

The smallest number in the given ratio of 1:2:3:4:5 whose mean is 11 is 11/3.

For more question on ratio

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The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio

Answers

Answer:

r=2,n=7

Step-by-step explanation:

The formula for the sum of the nth term of a Geometric Progression is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

From the above question, we are told that:

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

We are also told that:

The sum of the reciprocal is 127/64

This means the inverse, the formula is given as:

Sn = 1/a(1-r^n)/(1-r)

127/64 = 1(1-1/r^n)/(1-1/r)

= r^(1-n)(1-r^n)/(1-r)

Solving the above, we obtain:

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

r=2,n=7

what is the square root of 7686.3652736?

Answers

Answer: 87.6719183867

Step-by-step explanation:

Exact Form: √ 7686.3652736

Decimal Form: 87.67191838 …

Step-by-step explanation: The radical cannot be simplified, but it can be approximated.

Give me brainliest or a thank you pls :)

What is the slope of the line that
passes through these two points?
(-4, 6)
(-4,-2)
Remember. Slope is
a) 0
rise (y2-yı)
run (x2-x1)
c) undefined
b) 1/3
d) -3

Answers

Answer:

undefined

Step-by-step explanation:

( -4, 6) & (-4, -2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (-4 -  (-4))

Simplify the parentheses.

= (-8) / (-4 + 4)

= (-8) / (0)

Simplify the fraction.

-8/0

= undefined

This slope is undefined because you cannot divide a number by 0. These points also fall on a vertical line, which has an undefined slope.

Hope this helps!

Saephan walked 400 feet per minute.
What was his speed in feet per hour?

Answers

24,000 feet per hour I believe

Dennis has to take a short multiple choice quiz that 4 questions and each question has 4 answer choices. What is the probability he gets all 4 questions incorrect?

Answers

Answer:

3/4?

Step-by-step explanation:

Simplify.
Remove all perfect squares from inside the square root.
[tex]\sqrt{63}[/tex]

Answers

Answer:

[tex]3 \sqrt{7} [/tex]

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

[tex] \sqrt{3 \times 3 \times 7} [/tex]

2) Group the same prime factors into pairs.

[tex] \sqrt{(3 \times 3) \times 7} [/tex]

3) Rewrite each pair in exponent form.

[tex] \sqrt{ {3}^{2} \times 7 } [/tex]

3) Use this rule

[tex] \sqrt{ {x}^{2} } = x[/tex]

[tex]3 \sqrt{7} [/tex]

+
The sum of ages of Paula and her mother is 48.
Her mother is 12 years more than twice as old as Paula. Use a linear system to
determine the ages of Paula and her mother.

Answers

Answer:

Step-by-step explanation:

It’s 12

Please Help with this question!!

Answers

Answer:

The answer is C.

Step-by-step explanation:

Parallel lines m and n are cut by a transversal t. Which two angles are corresponding angles? A. 1 and 5 B. 1 and 6 C. 1 and 2 D. 1 and 7

Answers

Answer:

1 and 5

Step-by-step explanation:

So basically corresponding angles are the angles which lie on the same line of the transversal

And also one of them will be an interior angle and the other a exterior angle

Answer:

D

Step-by-step explanation:

A cone and its dimension are shown in the diagram. Find the volume of the cone in cubic feet.​

Answers

Answer:

[tex]\pi/4[/tex]

Step-by-step explanation:

The volume of a cone is [tex]\pi r^2h/3[/tex]. We have that [tex]r=1[/tex] and [tex]h=3/4[/tex]. Therefore, the volume is [tex]\pi/4[/tex].

Which of the
following points
would be a solution
to this system of
linear inequalities?


help me out please

Answers

The pic is attached.

Answer:

(-2, -4)

Step-by-step explanation:

The solution to a system of equations is an ordered pair. In order to be a solution to a system of inequalities, it has to be in the shaded area of both lines. Since both lines are shaded below the lines, the point has to be in that middle area where both the green and purple shades overlap. (-2, -4) is the only point in that picture that is in that overlapping shaded area. (-4, -1) is only in the green shaded area.

Find the area of the regular pentagon with side 10 cm and an apothem of 7.8 cm.

Answers

Answer:

78cm

Step-by-step explanation:

multiply 10 and 7.8

Question 1
A sweater was originally $38.00, but the department
store is running a 15% off sale. What is the sale price of
the sweater?

Answers

Answer:

$32

Step-by-step explanation:

It’s a. 8* and pls pls help meee

Answers

Answer:

x = 1.5

Step-by-step explanation:

Since they are corresponding angles, they equal to themselves

8x + 13 = 12x + 7

Subtract 12x from both side

-4x + 13 = 7

Subtract 13 from both side

-4x = -6

Divide by -4

x = 1.5

Answer:

20x=20

Step-by-step explanation:

8x+13+12x+7

(8x+12x)+(13+7)

20x+20

Josie is saving money to purchase a new pair of shoes. She has already saved $5 and will earn $0.50 for each chore she completes. Graph the relationship between number of chores Josie completes and the total amount she will have saved.

Answers

Answer:

The graph would be y=0.5x+5

Step-by-step explanation:

0.5 is the slope since it can change anythime and 5 stays the same so therefore it is the y-intercept. :)

Events AA and BB are independent. P(A\ \mathrm{and}\ B)=0.25P(A and B)=0.25 Enter possible probabilities for events AA and BB.

Answers

Answer:0.5, 0.5

Step-by-step explanation:

Given

[tex]P(A\cap B)=0.25[/tex]

Also, A and B are independent events. So, we can write that

[tex]P(A\cap B)=P(A)\times P(B)[/tex]

[tex]0.25=P(A)\times P(B)[/tex]

So, the two most possible value of [tex]P(A)\ \text{and}\ P(B)[/tex] are [tex]0.5\ \text{and}\ 0.5[/tex]


Find the accumulated Value of 5,000
investment which is invested for 8 years at an
interest
rate of 12% compounded

Answers

I used a calculator app for compound interest rate and got 12,379.82

Which is a man-made resource?

Answers

Answer:

a house?

Step-by-step explanation:

What is the answer for this problem?

Answers

Answer:

answer c for question 9 answer

Determine the center and radius of the following circle equation:
x2 + y2 + 4x + 20y + 68 = 0

Answers

Answer:

center( -2,-10)

radius:6

Step-by-step explanation:

I hope this helps.

David uses 1/4 cup of apple juice for every 1/2 cup of carrot juice to make a fruit drink . Enter the number of cups of apple juice David uses for 1 cup of carrot juice. HELP ME PLSSS!!!!

Answers

Answer:

1/2 cup

Step-by-step explanation:

1 cup is equal to 2 1/2 so that means you use 2 times 1/4 which is 2/4 cups which is equal to 1/2

Answer:

1/2 cup of apple juice

Step-by-step explanation:

Hi,

1/4 cup of apple juice = 1/2 cup of carrot juice

We're trying to find the number of cups of apple juice when the carrot juice is equal to a whole cup. To do this, we have to get 1/2 to a whole number. Simply multiply 1/2 by 2 to get a whole number. Here's what I mean...

1/4 cup of apple juice = 1/2 cup of carrot juice

1/2 x 2 = 1 (whole number)

So, when we have a whole cup of carrot juice we have...

1/4 x 2 (since we multiplied the 1/2 by 2, we have to do the same to the other side).

1/4 x 2 = 1/2

David will use 1/2 cup of apple juice when he makes a cup of carrot juice.

Hope this helps :)

You move down 1 unit. You end at (0, -3). Where did you start?

Answers

0,-2 I believe
Because -2 is greater than -3 and is above it
The answer is : you start from(0,-2)


2. In Geometry
is a location that has no size.
O coordinate
und
O spot
point
O dot

Answers

The answer to that question is a coordinate.

Carmen left her house and drove 11 mi north, 16 mi east, 14 mi south, 9 mi west, and 3 mi north. How far was she from home? Carmen was miles from home.​

Answers

Babbabsbsbsbsbbsbsnshahahbs

Answer:

7 mi.

Step-by-step explanation:

If two adjacent sides of a rhombus measures 4x – 5 and 7x – 14 respectively. Find the length of each sides.

Answers

Answer:

3

Step-by-step explanation:

all sides are equal in a rhombus.

therefore,

[tex]4x - 5 = 7x - 14[/tex]

[tex]14 - 5 = 7x - 4x[/tex]

[tex]9 = 3x[/tex]

[tex]x = 3[/tex]

Can someone please help me?

Answers

Answer:

-26.5

Step-by-step explanation:

(53/|2/2|)/3(1)-5

=(53/1)/3-5

=(53)/-2

=-26.5

Round 39.711 to the nearest whole number

Answers

Answer:

40

Step-by-step explanation:

The .7 causes the 39 to round up to 40

Answer:

40

Step-by-step explanation:

Believe me or not but hope this helps

Help me this is due I dont know this answer can someone help me please.

Answers

Answer:

i think its 43?

Step-by-step explanation:

Your answer should be 125 squared inches.

The formula for area of a rectangle in length x breadth/width.

Hope this helped

11. It took Mr. Owen 12 hours to build
a 36-foot long brick wall around the
perimeter of his garden. At what rate
did Mr. Owen build the wall? Show
your work.
Answer quick plzzz no website

Answers

Answer:

3 feet per hours

Step-by-step explanation:

To get unit rate divide foot by hours

[tex]\frac{36}{12} = 3[/tex]

Answer:

36/12 =3 so ans = 3 hours

Step-by-step explanation:

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