What is the solution to the system of equations below?

y = -5x - 1
4x - 7y = 7

Answers

Answer 1

Hi

When you have a system of equation, you generally have two unknowned value.  

The trick is to express one letter as equal of something in the second letter.

We have two lines :  

(1) :  y = -5x-1

(2) :  4x-7y = 7

Here  he job is  half done as  we have already  "y" express in " x"  with line (1)  so  :   y = -5x-1  

So I can rewrite line (2)  as this  :   4x-7y = 7

                                                         as y = -5x-1 so :

                                                          4x-7y = 7  become :

                                                           4x - 7 ( -5x-1) = 7

                                                           4x-7 * (-5x) - 7* (-1) = 7

                                                            4x +35x +7 = 7

                                                             4x +35x +7 -7 = 7-7

                                                             39x = 0

                                                                  39x/39 = 0 /39

                                                                      x = 0

So if X = 0  then we have in line (1)  we have by replacing  "x" by it's value :    y = -5x-1

y = -5*0 -1  

y =  -1

Dont hesitate to ask in comments if it's still not clear.

                                     


Related Questions

Subtract.

−135−(−258)

Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]

Answers

Answer:

123/1

Step-by-step explanation:

-135- (-258)

123

123/1

brainliest is appreciated

Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?

Answers

Answer:

60 degrees

Step-by-step explanation:

just add 33 and 27

Answer:

60°C

Step-by-step explanation:

27 - (-33) = 27+33 = 60

que expresión es equivalente a 7,299?

Answers

Answer:

Option A 7,000+200+20+9 is equivalent expression of 7,229. Because after adding 7,000+200+20+9 we get 7,299.

~

Lashonda made $144 for 12 hours of work.
At the same rate, how many hours would she have to work to make $216?

Answers

She would have to work 18 hours to get 216$

1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me

Answers

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

What is the median for the data set? 15, 17, 8, 23, 14
15 38.5 8 15.4

Answers

Step-by-step explanation:

Add all the data and divide by 2 to get your median

The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.

What is a median?

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The data set is given below.

17, 8, 23, 14, 15, 38.5, 8, 15.4

Arrange the data in ascending order, then we have

8, 8, 14, 15, 15, 15.4, 17, 23, 38.5

The number of the term will be 9, then the median will be

Median = (n + 1) / 2

Median = (9 + 1) / 2

Median = 10 / 2

Median = 5th term

5th term that is 15.

The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.

More about the median link is given below.

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The gradient of the curve
[tex] y = {3x}^{x2} + 11x + 7 [/tex]
at point p(x,y) is -1. Find the coirdinate of P.​

Answers

Answer:

Coordinate of P is (-2, -3)

Step-by-step explanation:

Gradient is the derivative of the curve:

[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]

but dy/dx is -1 :

[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]

substitute for x :

[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]

How many faces does a cube have

Answers

Answer:

6

Step-by-step explanation:

it has 6 sides

please give brainliest

Answer:

6 faces

Step-by-step explanation:

For which of the following displays of data is it not possible to find the range?
Choices:
line plot
Frequency table
histogram
stem and leaf plot​

Answers

Answer:

stem and leaf plot

Step-by-step explanation:

you can't find the range from a stem and leaf plot

Sam says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?

Answers

Answer:

64, 65, 66

Step-by-step explanation:

16 x 4 = 64

13 x 5 = 65

6 x 11 = 66

^^

Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? Roman Numeral Standard Number 1 5 10 50 1 V X L С C D M 100 500 1,000 A) 18 B) 22 C) 23 D)43​

Answers

Answer:

c.23

Step-by-step explanation:

easy keep sendin em

Find the 11th term of the arithmetic sequence
2x - 2, 5x – 9, 8x – 16,...

Answers

Answer:32x -72

Step-by-step explanation:

3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A​

Answers

Answer:

76( 6487235)

Step-by step explanation:

Imani earned $24 in interest after four years on an account that paid 6% simple interest annually. Use the formula 1 - Prt to find Imani's principal balance. (2 points)
Ο SS7.60
O $100.00
Ο Ο Ο
$576.00
Ο $1,000.00

Answers

Answer:

$5.76

Step-by-step explanation:

Prinkpal balance = $24^4^6% =5.76

The principle amount will be equal to $100. The correct option is B.

What is simple interest?

The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest. Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

Given that Imani earned $24 in interest after four years on an account that paid 6% simple interest annually.

The principle amount will be calculated by using the simple interest formula.

SI = ( P x R x T ) / 100

24 = ( P x 0.06 x 4 )

P = 24 / ( 0.06 x 4 )

P = $100

Therefore, the principle amount will be equal to $100. The correct option is B.

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Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.​

Answers

Given

Age of sonali father is year 3 times more then Sonali.

Age of sonali father is 44.

What To Find

Age of sonali

Solution

Let assume the age of sonali be x

➡ Age of sonali = 3x + 5

➡ Age of sonali father = 44

According to the question

[tex]\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}[/tex]

Now , Solving this linear equation.

[tex] \begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}[/tex]

Hence , the age of sonali is 13 years.

Answer:

Sonali is 13 years old.

BRAINLIEST, PLEASE!

Step-by-step explanation:

Assigning variables:

s = Sonali, f = father

Setting up an equation:

f = 5 + 3s

Solving with substitution:

(44) = 5 + 3s

39 = 3s

s = 13

Checking the work:

44 = 5 + 3(13)

44 = 5 + 39

44 = 44

4x - 6 ≥ 6x - 20 helppp

Answers

Answer:

[tex]x \leq 7[/tex]

Interval notation: (-∞ , 7]

Step-by-step explanation:

Hi there!

[tex]4x - 6 \geq6x - 20[/tex]

Add 20 to both sides:

[tex]4x - 6+20 \geq 6x \\4x +14 \geq 6x[/tex]

Subtract 4x from both sides:

[tex]14 \geq 6x-4x\\14 \geq 2x[/tex]

Divide both sides by 2:

[tex]7 \geq x\\x \leq 7[/tex]

I hope this helps!

What is the reference angle for 283°?

Answers

What is the angle to get the reference angle

Find the value of x .

Answers

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?

Answers

Answer: 140 sit-ups

Step-by-step explanation:

1 set= 28 sit ups

28 * 5= 140

Answer:

140

Step-by-step explanation:

28 times 5

Find the distance between each pair of points (2, -6) and (7, -2)

Answers

Answer:

6.4 units

Step-by-step explanation:

The points plotted on a graph forms a right-angle triangle parallel with the x-axis. The hypotenuse is the direct distance between the points. So

a**2 + b**2 = c**2 where a is the x difference and b is the y difference

(2 -7)**2 + (-6 -(-2))**2 = c**2

-5**2 + -4**2 = c**2

25 + 16 = c**2

41 = c**2

41**(1/2) = (c**2)**(1/2)   and ignore the negative because they're lengths

6.4 = c

The temperature at 10 A.M. is 12 degrees Fahrenheit. The temperature at 6:00 A.M.
was -7
degrees Fahrenheit. How many degrees did the temperature rise?

Answers

Answer:

19 degrees Fahrenheit.

Step-by-step explanation:

19-7=12

Which number is a not a solution to the inequality m-8<2

Answers

The number 9 I think

This is my second time posting this can anyone help me PLZ !!

Answers

Answer:

Third one

Step-by-step explanation:

right = +

left = -

up = +

down = -

x - 7 + 3

Find the area of the triangle.

A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft

Answers

Answer:

formular 1/2 × base × height

1/2 × 2 × 8

16/2 = 8 ft

ans 8 ft

Answer:

Step-by-step explanation:

a = 2 ft ;   b = 8 ft ;  C = 91

[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]

2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60

Find the cost of a cap, and the cost of 3 T-Shirts​

Answers

Answer:

a=dollars6.10

b=dollars12.20

Step-by-step explanation:

Cap=x T-shirt=y

2x=3y 4x+2y=36.6

4x+ 3y=36.6 x=6.10

a) 4caps: 6.10

b) 3T-Shirt:3y=2x=2×6.10= 12.20

(According to Task)

An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.

Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,

2c = 3t

Solve the equation for c,

c = (3/2)t....... equation 1

Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,

4c + 3t = 36

Substitute the value of c from equation 1,

4(3/2)t + 3t = $36

6t + 3t = $36

9t = $36

t = $4

Now, substitute the value of t in the equation to get the value of c,

c = (3/2)t

c = (3/2) × $4

c = $6

Further, the cost of a cap, and the cost of 3 T-Shirts is,

Total Cost = c + 3t

                 = $6 + 3($4)

                 = $6 + $12

                 = $18

Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.

Learn more about Equation:

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-6(-p + 8) = -6p + 12

Answers

ANSWER:
p=5

explanation:
distribute the -6 and simplify

Answer:

p = 5

Step-by-step explanation:

[tex]-6(-p+8)=-6p+12\\6p-48=-6p+12\\12p-48=12\\12p=60\\p=5[/tex]

what is 2x-9=5x+12 with the step by step

Answers

Answer:

x = -7

Step-by-step explanation:

Please view the detailed answer in the image attached

Answer:

[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]

Step-by-step explanation:

x = -7

The solution for the graph below is:

Answers

the answer is (2,1). the lines meet at those points.

(a+b)²......what is the answer​

Answers

Answer:

(a+b)^2

= a^2 + 2ab + b^2 (this is the expanded formula of (a+b)^2)

Answer:

There can be 2 answers

Step-by-step explanation:

a²+2ab+b²= (a+b)²

or

(a+b)×(a+b)

= (a+b)²

rajan has two coloured ropes of lengths 720 cm and 540 cm. if he is cutting them into pieces of equal length, what is the greatest possible length of each equal piece so that there is no wastage?​

Answers

Common factors:
30
60
90
180

180x4 =720
180x3 = 540

Greatest possible length is 180cm



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