Solve the following system using the elimination method.
3x+2y=1
2x-y=10

Solve The Following System Using The Elimination Method.3x+2y=12x-y=10

Answers

Answer 1

Answer:

Step 1 : Multiple both sides by 2

3x + 2y = 1

4x - 2y = 20

Step 2 : Eliminate 1 variable by adding the equations

7x = 21

Step 3 : Divide both sides by 7 to solve for x

x = 3

Step 4: Substitute the value of x into 3x + 2y = 1

3(3) + 2y = 1

Step 5: Solve for y

2y = 1 - 9

2y = -8

*divide by 2

y = - 4

Solution:

(x,y) = (3, -4)


Related Questions

8 steps ----> 20 ft
6 steps -----> 15 ft

4a. Is this a proportional relationship?
yes
no

14b. If no, explain. If yes, find constant of proportionality. *

Answers

Answer:

It is a proportional relationship. 1 step/2.5 Feet.

Step-by-step explanation:

First of all, you need to find out what a single step equals to feet.

If 6 steps is 15 feet, and 8 is 20, then 2.5 feet is the transition of proportional relationship. (15, 17.5, 20)

This means that the proportional relation ship is that every 1 step is equal to 2.5 feet.

i need help and it would be great if someone could answer most of them please

Answers

Answer:

[tex]h=6\\k=2.5\\n=3\sqrt{10}\\m=\sqrt{21}\\p=\sqrt{17}[/tex]

Step-by-step explanation:

All of the triangles in this problem are right triangles. This means that all of them contain a right angle, this is indicated by the box around one of the angles. The Pythagorean theorem is a property of the sides of a right triangle, this property, in the form of an equation, is as follows,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs, that is, the sides that are adjacent to the right angle of a right triangle. The parameter (c) represents the hypotenuse, the side opposite the right angle of a right triangle. For each triangle, substitute the given side lengths, simplify, and solve for the unknown side.

[tex](h)^2+(8)^2=(10)^2\\h^2+64 = 100\\h^2=36\\h=6[/tex]

[tex](k)^2+(6)^2=(6.5)^2\\k^2+36=42.25\\k^2=6.25\\k=2.5[/tex]

[tex](n)^2+(\sqrt{10})^2=(10)^2\\n^2+10=100\\n^2=90\\n=\sqrt{90}\\n=3\sqrt{10}[/tex]

[tex](m)^2+(2)^2=(5)^2\\m^2+4=25\\m^2=21\\m=\sqrt{21}[/tex]

[tex](p)^2+(\sqrt{68})^2=(\sqrt{85})^2\\p^2+68=85\\p^2=17\\p=\sqrt{17}[/tex]

simplify 3^3 - 2x(5x-5) + √25

Answers

-10x^2+10x+32 is the simplified answer

Which expression represents the situation below?
14 times the sum of 8 and 7, divided by 6.

Answers

Answer:

option 1

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7

14 times sum of 8 and 7 = 14 x (8 + 7)

Divided by 6 = 14 × (8 + 7) ÷ 6

Answer:

1.) 14 × ( 8 + 7 ) ÷ 6

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7

14 times of sum of 8 and 7 = 14 × ( 8 + 7 )

And it Divided by 6 = 14 × ( 8 + 7 ) ÷ 6

2. A stack of 500 sheets of paper is 2.5 inches high. Each sheet of paper is 8.5 inches wide and 11 inches long. A person places more sheets onto the stack, making the total volume of the stack 561 cubic inches. Approximately how many more sheets of paper were added to the original stack of paper?

1) 200

2) 700

3) 1,200

4) 1,700

Answers

1200 hajajajajsksslskskskskskskskjsjsjsjsjsjsjjsjsjsjsjjs

rewrite: as a power of five:125;625;15625

Answers

Answer: 125 = 5³

625 = 5⁴

15625 = 5^6

Step-by-step explanation:

Tge question simply states that we should write the numbers given below in power of 5 and the number goes thus:

125 = 5 × 5 × 5 = 5³

625 = 5 × 5 × 5 × 5 = 5⁴

15625 = 5 × 5 × 5 × 5 × 5 × 5 = 5^6

what is the slope of the line y = 8x - 10

Answers

Answer:

slope is 8

Step-by-step explanation:

y=Mx+c

m is the slope therefore the slope is equal to 8

The slope of the line y = 8x - 10 is 8.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given line is y = 8x - 10

Equation of a line in slope intercept form is given by,

y = mx + c

Here, m is the slope and c is the y intercept.

The given equation is in the slope intercept form.

y = 8x - 10

The coefficient of x is the slope.

So slope of the given line = 8

Hence the slope of the line y = 8x - 10 is 8..

Learn more about Slope here :

https://brainly.com/question/14511992

#SPJ2

what equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"?

Answers

Answer:

6+2(n+4) = (3-n)÷2

Step-by-step explanation:

6 + 2n + 8 = (3-n)/2

14 + 2n = (3-n)/2

multiply through by 2 to eliminate the denominator

28 + 4n = 3 - n

25 + 4n = -n

25 = -5n

n = -5


1. The function below models the value of Tiana's car, where x represents
the number of years since she purchased the car. What is the rate of
growth or decay?*
f(x) = 24,000. 0.88
O Option 2 -88% Growth
O Option 3 -12% Decay
O Option 1 - 88 % Decay
O Option 4 - 12% Growth

Answers

Answer:

option 4

Step-by-step explanation:

Option 3 -12% Decay

Step-by-step explanation:

HELP ME PLZ!!!!! Plz!!!

Answers

Answer:

hi the right answer is option C.112

here's why:

[tex] \frac{14}{50} \times 400 = 112[/tex]

On a spelling quiz lily got 16 out of 20 questions correct which radio shows represents the number of that response to the total number of questions

Answers

I’m not exactly sure what your asking so maybe one of these is right 16/20 16:20 80% 4/5

What is the answer I need helppppp

Answers

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

pls answer asapppddddddd

Answers

Answer:

don't know........

......

In the first quadrant you start at 2, 6 and move 2 units right and 3 units down what point will you end up on?

Answers

Answer:

(4, 3)

Step-by-step explanation:

(2+2 , 6-3) = (4 , 3)

help me with these!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

A company is testing and comparing two hair spray formulas. The box plots show the number of hours each hair spray lasts before reapplication is necessary. Which statement is best supported by the information in the plots?
1.Hair spray B will always last two hours longer than hair spray A.
2.Hair spray A will likely last longer than hair spray B.
3.Hair spray B will likely last longer than hair spray A.
4.Hair spray B will always last longer than hair spray A.

Answers

Answer:

Foundations of Financial Management with Time Value of Money card (15th Edition) Edit edition Solutions for Chapter 4 Problem 9P: Vitale Hair Spray had sales of 13,000 units in March. A 70 percent increase is expected in April. The company will maintain 30 percent of expected unit sales for April in ending inventory.

Step-by-step explanation:

3 is the correct answer because box plots are averages. Hair spray B averages a longer time

Hello I need the answer fast plssssss

Answers

Answer:

32

Step-by-step explanation:

8x6=48

2x4=8

48-16=32

Answer:

[tex]area = 2(area \: of \: trapezium) - 2(area \: of \: triangle) \\ = 2( \frac{1}{2} h(a + b)) - 2( \frac{1}{2} bh) \\ = 4(4 + 6) - (4 \times 2) \\ = 40 - 8 \\ = 32 \: {ft}^{2} [/tex]

For the image below, state the line of reflection:
4
***
O
y=-x
o
yx
o
X-axis
y-axis
State the line of reflection of this pre-image and image

Answers

There is no image????

When a hockey team gets possession of the puck, the following probabilities have been
estimated:
They carry the puck over the opposing blue line 0.6.
• They get a shot on net 0.3.
• They get a shot and score 0.01
• They cross the blue line and score 0.005.
Determine the probability that they score given that they get a shot.

Answers

Answer: p(a given b) = p(a and b) / p(b)

a is the probability that they score.

b is the probability that they cross the blue line.

p(a and b) is given as .005

this is the probability that they cross the blue line and score.

p(b is given as .6

that's the probability that they cross the opposing blue line.

the formula becomes:

p(a given b) = .005 / .6 = .0083333333.....

that's what i get using the p(a given b) formula.

Step-by-step explanation:

Which is the value of the expression (3+9 2) divided by (3•2+11)

Answers

Answer:

3+9=12+14

3+2=5+15 14+15=29

Step-by-step explanation:

I hope it helped

The question is in the screenshot. ( I really need help in this one)

Answers

Answer:

V=A*L

V=72*6

V=432 in cube

Which linear inequality is represented by the graph?
plz help​

Answers

The answer is C because the line is solid and the symbol means less than :)

may anyone help me please and thank you so much !

Answers

Answer:

8

Step-by-step explanation:

A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x. What is the height of the arch, measured 3 inches from the left side of the arch?

Answers

Answer:

30 inches

Step-by-step explanation:

f(x) = –2(x)(x – 8)

x = 3

f(3) = -2(3)(3 - 8)

f(3) = -2(3)(-5)

f(3) = 30

30 inches

Answer:

30 inches

Step-by-step explanation:

true or false : A triangle can have interior angles of 50 degrees, 70 degrees, and 68 degrees​

Answers

false, because the 3 interior angles must all add up to a total of 180°

Answer:

it is false as the sum of the degrees of the triangle should be 180 but here it is 188 so it is false

can someone pls help for brainlest

Answers

Answer:

10 times 20 would be 200 divided by 2 since its a triangle which is 100

now muttiple 100 by 20 to get 2000

Your Welcome

plz brainlest

Answer:

Hi :) the answer would be 2000

Step-by-step explanation:

All you have to do is multiply all of the sides together and divide by 2. I hope this helped! Have a good day♡

I will give brianliest!! 20 points. Look at the picture for the question…

Answers

the answer is B. A translation 1 unit to the right followed by 180-degree counterclockwise rotation about the origin.

47 divided by 25, work it out step by step​

Answers

Answer:

1.88

Step-by-step explanation:

47/25

= 1.88

The answer would be 1 remainder 22

ANSWERS:

positive linear

negative linear

nonlinear

no relationship

Answers

Answer:

Step-by-step explanation:

No relationship i belive

The answer is no relationship

Step by step explanation

Find the average of the numbers 8, 13,15

Answers

Answer:

average = 12

Step-by-step explanation:

average = sum of numbers/no. of numbers

=8 + 13 + 15 /3

=36/3

=12

The average of those three numbers is 12
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