Mathematics High School

5x - 2y = -26
-7x + 4y = 40
Show your work?

Answers

Answer 1

Answer:

x = -4, y = 3

Step-by-step explanation:

In one equation (let's use the top one), solve for one of the variables (let's solve for y first).

5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13

Now, substitute ((5/2)x + 13) in for y in the second equation.

-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4

Then, subtitute that in to one of the equations.

5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3

Related Questions

If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?

Answers

Learn about the rules for 180 degree rotation in anticlockwise or clockwise direction about the origin.

How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph?

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

Worked-out examples on 180 degree rotation about the origin:

1. Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin. i) A (3, 5)

(ii) B (-2, 7)

(iii) C (-5, -8)

(iv) D (9, -4)

Solution:

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5)

(ii) The new position of the point B (-2, 7) will be B' (2, -7)

(iii) The new position of the point C (-5, -8) will be C' (5, 8)

(iv) The new position of the point D (9, -4) will be D' (-9, 4)

2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.

Solution: When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).

3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.

Solution: On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.

Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:

P (-3, 1) → P' (3, -1)

Q (2, 3) → Q' (-2, -3)

Thus, the new position of line segment PQ is P'Q'.

4. Draw a line segment MN joining the point M (-2, 3) and N (1, 4) on the graph paper. Rotate it through 180° in anticlockwise direction.

Solution: plotting the points M (-2, 3) and N (1, 4) on the graph paper to get the line segment MN.

Now, rotating MN through 180° about the origin O in anticlockwise direction, the new position of points M and N is:

M (-2, 3) → M' (2, -3)

N (1, 4) → N' (-1, -4)

Thus, the new position of line segment MN is M'N'. 5. Draw a triangle PQR by joining the points P (1, 4), Q (3, 1), R (2, -1) on the graph paper. Now rotate the triangle formed about the origin through 180° in clockwise direction.

Solution: We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is:

P (1, 4) → P' (-1, -4)

Q (3, 1) → Q' (-3, -1)

R (2, -1) → R' (-2, 1)

Thus, the new position of ∆PQR is ∆P’Q’R’.

Answer:

im not sure if there is a picture it would help more :)

Step-by-step explanation:

Convert 2x + 37y = 18 to point-slope form.

Answers

Answer:

y = -2/37x + 18/37

Step-by-step explanation:

2x + 37y = 18

-2x -2x

37y = -2x + 18 (Divide 37 on both sides)

Y = -2/37x + 18/37

Kellie can type 3 words in 1 minute

Answers

uwu I see a lot of problems,

1. She can only type 3 words per minute

2. She can only type 3 words per minute

Solve.
2x + 3 = 2x - 3

Answers

Step-by-step explanation:

Respuesta:13

Answer:

It is incorrect :( :(

Step-by-step explanation:

2x + 3 = 2x - 3

or, 2x - 2x = -3-3

or, 0 = -6

GIVING BRAINLIEST!!

Graph the solution of 2x + 3 <3.

Answers

Answer:

Open dot to the left. Dot on zero.

Step-by-step explanation:

Answer:

I hope this helps!

Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 ." What is Julios's number?

Answers

Answer:Julios's number is 31

suppose: Julios's number is x

because Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 "

=> we have: (x - 13).(-3) = -54

<=> x - 13 = (-54):(-3) = 18

<=> x = 18 + 13 = 31

<=> x = 31

Step-by-step explanation:

Write an expression to represent:
The sum of ten and the quotient of a number 2 and 6.

Answers

Answer:

x=10+(2/6)

Step-by-step explanation:

Hope this helped!

Answer:

10 + 2/6

Step-by-step explanation:

A quotient is the answer to a division problem.

A sum refers to addition.

Would appreciate Brainlitest!

What is the slope and y-intercept of x/3= -y+2 and how?????

Answers

subtract 2 from both sides

then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line

so you get y = -1/3x + 2

the y-intercept is (0,2)

the slope is -1/3x (aka -x/3)

geometry work find the value of b

Answers

Answer:

Step-by-step explanation:

I know I did it

The sum of three consecutive numbers is 123.
What is the smallest of the three numbers?

Answers

Answer:

The three numbers are 40, 41 and 42. So the answer would be 40

The local traffic update is given on a radio channel every 12 minutes from 4:00 p.m. to 6:30 p.m. You turn the radio on at 4:16 p.m. How long will you wait for the local traffic update?

Answers

Answer:

8 minutes

Step-by-step explanation:

The next traffic update will be at 4:24 p.m. because 12 x 2 = 24. 24 - 16 = 8, so you have to wait for 8 minutes.

what is the value of x

Answers

Answer:

x=12

Step-by-step explanation:

substitute the number 12 with X

x=12 because it just does. hope you got it.

The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars. What is the significance of the number 82.75 in the equation?

Answers

Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.

Step-by-step explanation:

Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.

In linear equation y=mx+c, = rate of change of y with respect to x.

Here Coefficient of a = rate of change of C with respect to a.

i.e. Coefficient of a =amount charged per acre in the park.

Hence, The significance of the number 82.75 in the equation = amount charged per acre in the park.

You help out at the bowling alley on weekends. One of the arcade games has a bin filled
with stuffed animals. A robotic arm randomly grabs a stuffed animal as a prize for the
player. You are in charge of filling the bin.
You are told that the probability of getting a stuffed giraffe today is 0.4. If there are 28
giraffes in the bin, what is the total number of stuffed animals in the bin?

Answers

Answer:

28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator

check 70*0.4=28

Step-by-step explanation:

Which equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2

Answers

Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

What is the binary number for 22

Answers

Answer:

I believe it is 10110

Step-by-step explanation:

hope this helps

complete the table of values for y=x3+x2-6x

Answers

Answer:

y= x ^3 - 4x

Step-by-step explanation:

Regroup terms.

y=x^3 +2x−6x

Simplify x^3 +2x−6x to x^3 −4x.

AAAAANNNNNnnNNND the answer is

y= x^3 - 4x

IN GRAPH

please help me I am very confused.

Answers

Answer: D

Step-by-step explanation:

PLEASE HELP!!! Find the slope of each side of the triangle.

Answers

9514 1404 393

Answer:

AB: -3BC: 2/3AC: -1/4

Step-by-step explanation:

The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.

Here are the segment slopes (rise/run).

AB = -3/1 = -3

BC = 2/3

AC = -1/4

Provide three character traits that would make you a successful entrepreneur. Explain? I

Answers

Answer:

Creative, Motivated, and Passionate.

Step-by-step explanation:

The describe a successful entrepreneur because you have to be creative because being creative helps you become a better problem solver in all areas of your life and work. You have to be motivational because it allows us to change behavior, develop competencies, be creative, set goals, grow interests, make plans, develop talents, and boost engagement. You have to be passionate because being passionate is the energy that keeps us going, that keeps us filled with meaning, and happiness, and excitement, and anticipation.

Find the slope and the y-intercept of the line.
6x+2y=-2

Answers

Answer:

Slope: -3

Y Intercept: (0,-1)

Step-by-step explanation:

Answer:

slope -3

y = 0,-1

Step-by-step explanation:

What transformations were applied to ABCD to obtain A'B'C'D?

Answers

Answer:

Rotate 90 degrees counterclockwise then translate 2 units up.

Step-by-step explanation:

I just took a quiz on a p e x and it was correct! :)

Answer:

roatae 90 degrees conter clockwise about the origin and then go to units up

Step-by-step explanation:

can someone please help me with this please and thank you

Answers

Ndhdhjjsjxjndjxjxjdnfnhdhfbdjjdjdhd

The second one I believe so because I just finished learning this last year

PLEASE HELP
classify triangles

Answers

Answer:

I'm pretty sure its obtuse triangle

Sarah works ar a shoe store. She earns a base salary of $1,500 per month, plus a 25% commission on the amount of shoe sales she makes druing the month. If Sarah's goal is to earn $2,000 a month, what is the amount of shoe sales that she must make in a month?

Answers

Answer:

Step-by-step explanation:

goal is 2,000 and she already makes 1,500

2,000-1,500 gives you the amount she needs to earn from shoe sales

she needs to earn 500 dollars with a 25% commision

25% can also be written as 25/100

for every $100 she makes, she gets $25 but she needs $500

100:25

we need the second number in the ratio to equal $500

500 divided by 25 is 20

20 x 100 : 25 x 20

2000: 500

ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer

find the L.C.M of the following
a.3and7
b.4and5

Answers

Answer:

a. 21

b. 20

Step-by-step explanation:

a. 3 and 7 are prime numbers, so their LCM is their product, 21

4 = 2^2

5 = 5

LCM = 2^2 * 5 = 20

Answer:

a. 21

b. 20

Which of the following is the graph of the function shown above?

Answers

The given functions will be straight line graph as shown below

What are piecewise functions

Piecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.

The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;

Learn more on piecewise function here: https://brainly.com/question/27262465

#SPJ1

Simplify the radical √75 and explain how you got the answer :) please!

Answers

Answer:

8.6

Step-by-step explanation:

here is a list of ingredients for making 12 rock cakes nihay wants to make 42 cakes does she have enough sugar to make 42rock cakes u must show your working

Answers

Step-by-step explanation:

So we know that for 12 rock cakes we need 225g flour and 75g sugar to get 42 rock cakes we need to multiply the number of ingredients by 3.5 (42/12 =3.5)

This gets us 787.5 g flour and 262.5 g sugar.

Show work:

[tex]42 \div 12 = 3.5[/tex]

[tex]225 \times 3.5 = 787.5[/tex]

[tex]75 \times 3.5 = 262.5 [/tex]

[tex]787.5 < 800[/tex]

[tex]262.5 < 300[/tex]

Nishat has enough flour and sugar to make 42 rock cakes.

The image of point (-2,3) under translation T'is
(3,-1). What is the image of point (4,2) under the
same translation?

Answers

Answer:

Step-by-step explanation:

REF: 060309a

ANS:

(9,−2)

(x,y)-->(x+5,y-4)

Transformation involves changing the position of a point.

The image of the translation is (9,-2).

The point is given as:

[tex]\mathbf{A= (-2,3)}[/tex]

The image of the point is:

[tex]\mathbf{A'= (3,-1)}[/tex]

The translation rule is calculated as:

[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]

[tex]\mathbf{T = <x + 5,y-4>}[/tex]

So, the image of (4,2) is:

[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]

[tex]\mathbf{Image = (9, -2)}[/tex]

Hence, the image of the translation is (9,-2).

Read more about translation at:

https://brainly.com/question/12463306

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5x - 2y = -26 -7x + 4y = 40Show your work?​

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5x - 2y = -26
-7x + 4y = 40
Show your work?