Find the solution of the system of equations.
−2x+9y= -17
-x - 3y = -1

Answers

Answer 1
x=4 y=-1 (4,-1) this is the answer
Answer 2

Answer:

x = 4 and y = −1

(4, -1)

Step-by-step explanation:

I going to solve this system of equations by elimination. (You could also solve by substitution too.)

Multiply the first equation by 1, and multiply the second equation by -2.

1(−2x+9y= -17)

-2(-x - 3y = -1)

Becomes:  

−2x + 9y = −17

2x + 6y = 2

Add these equations to eliminate x:

15y = −15

15y/15 = -15/15

y = -1

Now we solve for x:

-x -3(-1) = -1

-x + 3 = -1

     -3   -3

-x = -4

x = 4

Hope this helped!


Related Questions

A car wash attendant counted the number of cars washed and the total amount of money earned. The
company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275
for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of
dollars earned, m.

Answers

Answer:

total=n÷m $165÷15,$231÷21 and $275÷25

Which three lengths could be the lengths
of the sides of a triangle?
A. 4 cm, 8 cm, 13 cm

B. 13 cm, 11 cm, 23 cm

C. 5 cm, 18 cm, 12 cm

D. 25 cm, 8 cm, 16 cm

Answers

Given:

The three lengths in the options.

To find:

Which three lengths could be the lengths of the sides of a triangle?

Solution:

If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.

In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.

Sum of two smaller sides is:

[tex]4+8=12[/tex]

[tex]4+8<13[/tex]

So, the triangle is not possible.

In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.

Sum of two smaller sides is:

[tex]13+11=24[/tex]

[tex]13+11>23[/tex]

So, the triangle is possible.

In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.

Sum of two smaller sides is:

[tex]5+12=17[/tex]

[tex]5+12<18[/tex]

So, the triangle is not possible.

In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.

Sum of two smaller sides is:

[tex]8+16=24[/tex]

[tex]8+16<25[/tex]

So, the triangle is not possible.

Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.

What is the equation of the line that passes through the point (4,-4) and has a
slope of -5/2

Answers

Answer:

y = -5/2x + 6

Step-by-step explanation:

y = -5/2x + b

-4 = -5/2(4) + b

-4 = -10 + b

6 = b

y = -5/2x + 6

Plzzz put the work step by step so I can copy

Answers

Answer:

down below

Step-by-step explanation:

inside of a triangle is 180 degrees

[tex]180=90+5x+2+4x-11\\180=5x+4x+90+2-11\\180=9x+81\\180-81=9x+81-81\\99=9x\\99/9=9x/9\\11=x[/tex]

now that we have our x we can find the angles

[tex]M=90\\\\K=5(11)+2\\K=57\\\\\\L=4(11)-11\\L=33[/tex]

3. If x and y vary directly, and x = 60 when y = 5, what is the value of у when x = 36 ?

Answers

Answer:

y = 3

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 60 as x and 5 as y, and solve for k

y = kx

5 = k(60)

1/12 = k

So, the equation is y = 1/12x

Plug in 36 as x and solve for y

y = 1/12x

y = 1/12(36)

y = 3

So, when x = 36, y = 3

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi=3.14 in any formulas used.

Answers

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi-circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?

А. The lines intersect at one point.
В. The lines are parallel
C. The lines are the same line.
D. The lines cannot be graphed.

Answers

The answer would be “B. The lines are parallel”

At a football stadium, 10% of the fans in attendance were teenagers. If there were 100 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

So we know that ten percent is e quivanebt to 0.10 multiply that number to 100 and you will get your answer!

Answer:

The answer is 1000.

*Explanation*

Attendance at the football stadium is 100%

100% - 10% = 90%

10% = 100 attendance

900% = 900 attendance

900 + 100 = 1000 attendance

Find the range & interquartile range of the data set represented by this box plot.

Answers

Answer:

60 and 25

Step-by-step explanation:

The range is the difference between the maximum value and the minimum value.

maximum value = 125, minimum value = 65

range = 125 - 65 = 60

------------------------------------------

The interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box = 115

Q₁ is the value at the left side of the box = 90

interquartile range = 115 - 90 = 25

hey can you help me fast!!

Answers

Answer:3.5 Hope this helps

Step-by-step explanation:

Answer:

-3.5

Step-by-step explanation:

I got it correct.

PLEASE HELP ME ANSWER THIS:(

Answers

#1 is A

I hope this helps I don’t know the other ones

Answer:

#1y = x² - 8x - 20 y = (x - 10)(x + 2), zero's are (10, 0) and (- 2, 0)

Vertex is:

x = -8/-2 = 4, y = 4² - 8*4 - 20 = -36

Correct choice is A

#2x² + 1/3x = 4x² + 2*x*(1/6) + (1/6)² = 4 + 1/36(x + 1/6)² = 4 1/36

Correct choice is A

#3(-√-1) = -ii² = -1 ⇒ i²ⁿ = -1i²ⁿ⁺¹ = -i

Correct choice A or B

What is a 1/15 cup in cooking??

Answers

Answer: 1/5 cup with 2 tps

Step-by-step explanation:

4
In the following figure, the value of x is
20
35°
C
B
Note: Round your answer to the nearest tenth.

Answers

The answer is 15 I’m pretty sure

I will mark brainliest

Answers

Answer:

4.89

Please mark brainliest

9. Which activity would best result
in a scholarship award ?

Answers

I think the answer is c.

What two words will fill in the blanks correctly?Single choice.

(1 Point)

In similar figures, the ratio of the lengths of their corresponding sides are ____________ and corresponding angles are ____________.

equal and congruent

similar and similar

similar and congruent

Answers

here's the answer :

=》

In similar figures, the ratio of the lengths of their corresponding sides are equal and corresponding angles are congruent.

hence, A. equal and congruent is correct.

Answer:

equal and congruent

Step-by-step explanation:

equal and congruent

In a bag, there are 6 blue, 1 purple, 3 yellow, and 5 orange marbles. If a single choice is made from the
bag, find the probability of choosing a yellow marble

Answers

Answer:

it would be a 3/15 or 1/5 chance

Step-by-step explanation:

Answer:

Its 3/15 which is 1/5. The percentages are 20%.

Step-by-step explanation:6+1+3+5=15

yellow marbles:3/15

Simplified version:1/5.

And the percentages is 20%

mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall

Answers

Answer:

no

Step-by-step explanation:

9x12=108

108 square feet so not enough paint.

needs more paint that covers 4 square feet

helpppppppppppppppppppp

Answers

Answer:

10

Step-by-step explanation:

The pattern is multiplication by 2,

5x2 is 10

10x2 is 20,

and so on

Answer:

your answer is 10

Step-by-step explanation:

5 ,10 ,20 ,40 ,80

What is the total number of unique triangles with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?\

Answers

Answer:

Total 9 unique triangles can be formed

Step-by-step explanation:

For triangles to be unique, length of one side can be arranged in 3 different ways

Let us  L1, L2 and L3 are the three sides

Now, length of 6.5 cm can be at maximum three positions i.e  L1, L2 and L3

Like wise length of 6.0 cm can be at maximum three positions i.e  L1, L2 and L3

and length of 2.5 cm can be at maximum three positions i.e  L1, L2 and L3

Hence, total ways of making unique triangles are

3 + 3+ 3= 9

can someone plz help me.​

Answers

Answer:7 hours

Step-by-step explanation:

The answer is 7 hours i think

I really need help on this please ​

Answers

Answer:

2 inches

Step-by-step explanation:

i think that this would be monday*3 + thursday*2 in order to find all five days

so (0.5*3)+(0.25*2)= 2inches.

hope this helps!

DUE NOW!!! HELP IF U CAN

Answers

Log(9)=.954 just plug it into the calculator

Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?

Thanks For answering!

Answers

Answer:

64 slices

Step-by-step explanation:

The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.

16⋅8=128 slices of bread in total

Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.

128÷2=64.

Is water wet?? Explain

Answers

Answer:

WATER IS not wet

Step-by-step explanation:

Water is NOT wet by itself, however it makes other materials wet when it sticks to the surface of them.

Answer:

Water isn't wet by itself, but it makes other materials wet when it sticks to the surface of them. Wetness is the ability of a liquid to adhere to the surface of a solid, so when we say that something is wet, we mean that the liquid is sticking to the surface of a material.

20 POINTS

The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

Answers

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

10 points. . .. this is for my brother they have changed stuff so much from when i was in 6th

Answers

Answer: 1.885 miles

Step-by-step explanation:

Given: One lap around a park = 0.58 mile

The number of laps walked by Jessica= 3.25

Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :

Hence,  Jessica walked 1.885 miles around the park.

Answer:

im a dad, and i have the best woman in the world, best wife and mother to are boy

Step-by-step explanation:

x−60=180 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

x=240

Step-by-step explanation:

x-60=180

add 60 to both sides

x=240

Answer:

x = 240

Step-by-step explanation:

180 + 60 = x

180 + 60 = 240

the area of the triangle is 24 square feet. what is the length of the base?
A) 8 feet
B) 16 feet
C) 21 feet
D) 36 feet

Answers

Answer:

16 feet

Step-by-step explanation:

Area of a Triangle: (Base*Height)/2.

Therefore, Base:(2A)/Height =(2*24)/2=16

These box plots show the daily high temperatures in two cities over a
two-week period. Express the difference between the median temperatures
as a multiple of the IQR for each city. Show your work.
London
Honolulu
60
50 52 54 56 58
High Temperature (°F)
4
80 82 84 86
High Temperature (°F)

Answers

sorry i don't know. this answer.

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