solve systems of equations by algebraically x-2y=7
2x+5y =5

Answers

Answer 1

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.

x-2y=7

(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

x=2y+7

2. Now take your second equation and plug in what you got for x into the x variable.

2(2y+7)+5y=5

(Multiple 2 by everything inside of the parentheses.)

4y+14+5y=5

(We want to get the y by itself, so move the 14 to the other side.)

4y+5y=-14+5

(Combine all the like terms.)

9y=-9

(Divide the 9 from the y. What you do to one side you must do to the other.)

y=-1

3. Since you have one variable solved for. Now take the first equation and plug in your y.

x-2(-1)=7

(Multiple -2 by -1)

x+2=7

(Move the 2 to the other side in order to get the x by itself.)

x=5

4. If needed, plug in your x and y values into the equations in order to check your answer.

Hope this could help!

Answer 2
5,-1 because of the substitution method

Related Questions

3x^2-24x+50=0
help i write a test!!!

Answers

Answer:

2.8 i think

Step-by-step explanation:

Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(5,6), (4,1) and (-4,2)

Answers

Answer:

23 units

Step-by-step explanation:

Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)

Perimeter of the triangle = AB + AC + BC

AB = √(5-4)²+(6-1)²

AB = √1²+5²

AB = √1+25

AB = √26

For BC where B(4,1) and C(-4,2)

BC = √(4-+4)²+(1-2)²

BC = √8²+1²

BC = √64+1

BC = √65

For AC where A(5,6) and C(-4,2)

AC = √(5+4)²+(6-2)²

AC = √9²+4²

AC = √81+16

AC = √97

Perimeter = √97 + √26 + √65

Perimeter = 9.85+5.09+8.06

Perimeter = 23

Hence the perimeter of the triangle is approx 23 units

how do you solve for range because i’m so confused lol

Answers

Answer:

A) y ≥ -4

Step-by-step explanation:

The range of a function basically represents all of the y values that a function encompasses (I hope that makes sense, if not, please let me know).

In this graph, since the parabola has a vertex at (1, -4), the range includes y values only greater than or equal to -4. The function does not include y values lower than -4. Therefore, the range must be y ≥ -4.

Which of the following is not one of Euclid’s postulates?

1.) A circle may be described with any given point as its center and any distance as its radius.

2.) All right angles are congruent.

3.) All complementary angles form a right angle.

4.) A straight line may be drawn from any given point to any other.

Answers

Answer:

3.) All complementary angles form a right angle.

hope this helps you :)

"All complementary angles form a right angle" is not Euclid's postulates. Therefore, option C is the correct answer.

We need to identify which of the given option is not one of Euclid’s postulates.

What are Euclid’s postulates?

A statement, also known as an axiom, is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.

Postulate 1: A straight line may be drawn from any one point to any other point.

Postulate 2:A terminated line can be produced indefinitely.

Postulate 3: A circle can be drawn with any centre and any radius. Postulate 4: All right angles are equal to one another.

From the about options we can draw a conclusion that "All complementary angles form a right angle" is not Euclid's postulates.

Therefore, option C is the correct answer.

To learn more about Euclid's postulates visit:

https://brainly.com/question/14791269.

#SPJ2

Some help ppplllsssss

Answers

Answer:

the answer is b

Step-by-step explanation:

Side Angle Side

Olivia does chores every Saturday morning. She spends of her time cleaning her room. Of the remaining of her time, she spends of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?

Answers

Answer:

4/7 of her total time cleaning the kitchen

Step-by-step explanation:

Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]

Let

x = her total time

Room cleaning = 1/3x

Time remaining = 2/3x

Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen.

Kitchen cleaning = 6/7 of 2/3x

= 6/7 * 2/3x

= (6*2)x/(7*3)

= 12/21x

= 4/7x

Olivia spent 4/7 of her total time cleaning the kitchen

HELP PLS ASAP !!! I NEED HELP PLEASE HELP

Answers

Answer:a

plz give brainliest

Step-by-step explanation:

PLEASEE HELP THIS IS DUE TODAY

Answers

Answer:

The first one is 360 degrees. The second one is 1080.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 6º more than three times the other angle. ​

Answers

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

The diameter of a circle is 14km. What is the circles circumference?

Answers

Answer:

Step-by-step explanation:

c=d[tex]\pi[/tex]

c=14x3.14

c=43.96

angles and triangles

Answers

Answer:

x=120

y=60

z=60

Step-by-step explanation:

Write the equation in slope-intercept form for a line with a slope of 4 and y-intercept of -13.

Answers

Answer:

y=4x-13

Step-by-step explanation:

Will give brainliest!!​

Answers

Answer:

yes

Step-by-step explanation:

took test

Answer:

No

Step-by-step explanation:

Question 2 (1 point)
Solve by Substitution. Find the ordered pair
7x – 2y = 1
2y = x - 1
Solution (x,y)
I need help can someone help me please????

Answers

Answer:

on the bottom equation you can subtract 1 from both sides, x = 2y+1 so you substitute that in for x on the other equation, 7(2y+1) - 2y = 1 or 14y + 7 -2y = 1 then 12y = -6 y = -1/2 which you put back into the other equation, 2(-1/2) = x -1 so -1 = x - 1 then x = 0, the answer is (0, -1/2)

on the bottom equation divide all numbers and variables by 2 to get the equation y=2x-2 then write the equation 7x-2(2x-2)=1 distribute to get 7x-4x+4=1 then combine like terms to get 3x+4=1 subtract 4 by one to get 3x=-3 then divide both sides by 3 to get x=-1
next plug in x to your y= equation to get the equation 2(-1)-2=y then solve by multiplying 2by -1 to get -2-2=y then solve and get y=4 so your points are (-1,4)

What is the factorization of the trinomial below?
3x3 - 18X2 + 24x

Answers

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

Soooo i think i might know the answer but can somebody help please
please no fake answers im very low on points

Answers

Answer:

216 combinations

fin the value of x inthe figure below ​

Answers

16/17 = 22+16/x
16x = 17(38)
x= 40.375

Help please!! I am freaking out!!

The yellow portion of this pie chart represents 35%

How many degrees are in the angle formed by the edges of the yellow region?

Answers

Answer:

100.8

Step-by-step explanation:

100%=360

35%=?

35/100*360=100.8

Answer:

The correct answer is 126

ill give 18 points!! please help me :))

Answers

Answer:

Step-by-step explanation:

3. 10x + 6 = 8x

   8x = 10x + 6

   -2x = 6

  x = -3

4. y = 8(1) - 5= 8 - 5 = 3

   y = 8(2) - 5 = 16 - 5 = 11

    y = 8(5) - 5 = 40 - 5 = 35

    y = 8(0) - 5 = 0 - 5 = -5

    y = 8(-1) - 5 = -8 - 5 = -13

Number 3 :

[tex]10x + 6 = 8x[/tex]

[tex]6 = 8x - 10x[/tex]

[tex]6 = - 2x[/tex]

[tex]6 \div - 2 = x[/tex]

[tex] - 3 = x[/tex]

Number 4 :

[tex]y = 8x - 5[/tex]

When [tex] x = 1, y = \bold{ 3} [/tex]

[tex]y = (8 \times 1)- 5[/tex]

[tex]y = 8 - 5[/tex]

[tex]y = 3[/tex]

When [tex] x = 2, y = \bold{ 11} [/tex]

[tex]y = (8 \times 2)- 5[/tex]

[tex]y = 16 - 5[/tex]

[tex]y = 11[/tex]

When [tex] x = 5, y = \bold{35} [/tex]

[tex]y = (8 \times 5)- 5[/tex]

[tex]y = 40 - 5[/tex]

[tex]y = 35[/tex]

When [tex] x = 0, y = \bold{-5} [/tex]

[tex]y = (8 \times 0)- 5[/tex]

[tex]y = 0 - 5[/tex]

[tex]y = - 5[/tex]

When [tex] x = -1, y = \bold{-13} [/tex]

[tex]y = (8 \times - 1)- 5[/tex]

[tex]y = - 8 - 5[/tex]

[tex]y = - 13[/tex]

What is the Answer?
-4x+35>2

Answers

Answer:

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

Answer:

x < 33/4

Step-by-step explanation:

1.) -4x+35 > 2 (Move the constant to the right-hand scale side and change its sign)

-4x > 2 - 35

2.) -4x > 2 - 35 (Calculate the difference)

4x > -33

3.) -4x > -33 (Divide both sides of the inequality by -4 and flip the inequality sign)

x < 33/4

Linda bought a new rug that cost r dollars. She use a coupon for 20% discount and sales tax of 10%. If there was a shipping fee of $50 that was applied after the discount and tax , Which of the following expressions show the total amount of money that linda paid for the rug

Answers

This is a percent proportion answer I think so you need to use the percent proportion formula and find the answer

TRUE or FALSE: The equation 2x + 3y = 32 is not an example of a linear equation in two variables ( I uh need this now-)

Answers

Answer:

False

Step-by-step explanation:

It is a linear equasion because it's in ax+by=c form

Evaluate (x + 2) + 4 when x = 12 . O A. 6 O B. 10 OC. 2 O D. 18​

Answers

Answer:

Answer: D. 18

Step-by-step explanation:

Can anybody help me with this please

Answers

Jan is not correct. The opposite of any number will not always be a positive. This is because the opposite of a positive number is negative and the opposite of a negative number is positive.

Basically, opposite numbers are numbers that are the same distance to 0 on a number line. If we were to have a positive 1, the opposite of that number would be a -1, because that's equally distant from 0 on a number line.

Answer:

Search up the name of the exit ticket and then u get ur answers

Step-by-step explanation:

help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.

Answers

26 I think (i'm not sure please correct me.)

which ratio is equivalent to7:3

Answers

Answer:

14:6, 21:18, 42:36, 73:54

Step-by-step explanation:

There is a few of them. Hope this helps:)

awnser for brainliest and why u chose the awnser

Answers

Answer:

6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.


A city has 18 radio stations, including 9 oldies stations.
What is the probability that a randomly chosen radio station in this city is an oldies station?
Write your answer as a fraction or whole number.

Answers

50% so 9/18, or 1/2 simplified

PLS HELP URGENT!! PLEASEE SIMPLE FRACTIONS question in pic

Answers

Answer:

I think it is 13/15 (0,8666666...) but I am not sure

Answer:

12/15 or if u simplify it then you'll get 4/5

Step-by-step explanation:

3 2/3 multiplied by 5 bc u would need to find an equivalent fraction then 3 2/3 will turn into 55/ 15 and 2 4/5 will be multiplied by 3 and turned into 43/15. After that then u would substract 55/15 by 43/15 and u will end up with 12/15 and if simplified then it would be 4/5

How do i solve for this?

Answers

9514 1404 393

Answer:

  97.42 square units

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.

  75° = (75°)×(π/180°) radians = (5/12)π radians

Then the area is ...

  A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units

__

Equivalently, you can find the area of the circle in the usual way:

  A = πr² = π(12.2²) ≈ 467.59465

Then, multiply by the fraction of the circle that is shaded (75°/360°)

  sector area = (467.59465)(75/360) = 94.42 . . . square units

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