Solve the system by substitution.
x – 4y = -8
5у – 1 = x
Submit Answer

Answers

Answer 1

Answer:

y = -7 and x = -36

Step-by-step explanation:

x - 4y = -8

5y - 1 = x

→ Substitute 5y - 1 into x - 4y = -8

5y - 1 - 4y = -8

→ Simplify

y - 1 = -8

→ Add 1 to both sides

y = -7

→ Substitute y = -7 into 5y - 1

( 5 × -7 ) - 1 = -36

Answer 2

Answer:

The solution is (-36, -7)

Step-by-step explanation:

Since 5y - 1 = x, we can replace x in the first equation by 5y - 1:

5y - 1 - 4y = -8

Collecting like terms, we get:

y = -7

If y = 7, then by the second equation x = 5(-7) - 1 = -36

The solution is (-36, -7)


Related Questions

6) What is the equation of a line that passes
through (-1, -3) and has a slope of 2?

Answers

Answer:

y+3=2*(x+1)

Step-by-step explanation:

Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?

(2, –3.5)
(2, 5.5)
(–7.5, –5)
(1.5, –5)

Answers

Answer:

its c kiddos

Step-by-step explanation:

The required ordered pair for the solution of an equation  [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] is (-7.5,-5).

An ordered pair from the options is the solution of the equation [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] to be determined.

What is the ordered pair?

An ordered pair is defined as the coordinates when put into the equation giving the solution of the equation.

While plotting the curve of the given equation on the graph and also plotting the ordered pair on the graph. It is seen that points (2, –3.5), (2, 5.5), and (1.5, –5) lie on the unshaded portion. While ordered pair (-7.5, -5) lies on the shaded portion.

Thus, the required ordered pair for the solution of an equation  [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] is (-7.5,-5).

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Please help me with the questions please ASAP ASAP please please ASAP please please help please I’m begging please please

Answers

Answer:

3/2

Step-by-step explanation:

The ratio of perimeters of similar polygons is the same as the ratio of the lengths of corresponding sides.

WX/AB = 12/8 = 3/2

In the high-school courtyard, a memorial garden will be planted to commemorate those students who graduated and served in the military. A local nursery donated 2 cartons of plants. One carton contains 4 palms, 4 birds of paradise, and 2 plumbagos. The other box contains 5 palms and 3 birds of paradise. If Jasmine chooses one plant from each box at random, what is the probability that both plants will be birds of paradise? Express your answer as a fraction in lowest terms.

Answers

Answer:

:c

Step-by-step explanation:

one number added to twice another number is 23. Four times the first number added to twice the other number is 38. What are the numbers?

Answers

Answer:

x =5 & y =9

Step-by-step explanation:

let anumber x & y

-(x + 2y = 23)

4x + 2y = 38

-x -2y = -23

4x + 2y = 38

-x + 4x + 2y - 2y = 38-23

3x+0 = 15

3x /3 = 15/3

x = 5 then

5 + 2y = 23

2y = 23-5

2y/2 = 18/2

y = 9

therefore y =18 and x = 5

Please help with numbers 7 and 8.

Answers

Answer:

Below

Step-by-step explanation:

Every triangle should add up to 180 degrees,

This is a right triangle because it has the square in the corner meaning it is 90 degrees.

39 + 90 = 129

180 - 129 = 51 degrees

A: 51 degrees

C: 90 degrees

Answer:

a. 51 degrees

c. 90 degrees

I think

Define a relation R on N by (a,b) ∈ R if and only if a/b ∈ N. Which properties does R satisfy?

Answers

The relation R on the set of natural numbers (N) is defined as (a, b) ∈ R if and only if a/b is a natural number. This relation exhibits the properties of reflexivity, symmetry, and transitivity.

Reflexivity: For any natural number a, a/a = 1, which is a natural number. Therefore, (a, a) ∈ R for all a ∈ N. Hence, R is reflexive.Symmetry: If (a, b) ∈ R, then a/b is a natural number. This implies b/a is also a natural number since the division is commutative. Thus, (b, a) ∈ R. Therefore, R is symmetric.

Transitivity: Let (a, b), (b, c) ∈ R, which means a/b and b/c are natural numbers. As the division operation is closed under natural numbers, a/c = (a/b) * (b/c) is also a natural number. Therefore, (a, c) ∈ R, and R is transitive. In summary, the relation R on the set of natural numbers is reflexive, symmetric, and transitive, making it an equivalence relation.

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A diver begins rising toward the surface from 180 feet below sea level. A few
minutes later, the diver is 40 feet below sea level. How many feet did the diver rise in
those few minutes?

Answers

Answer:

140

Explanation: cause -180 + 40 = -140 (but absolute value is 140)

please help me thanks!

Answers

Answer:

2^9 (2 to the 9th power) = 512

Step-by-step explanation:

Since 2 is multiplied by itself 9 times, it can be represented as 2^9, which evaluates to 512.

Hopefully this helps - let me know if you have any questions!

convert the hexadecimal expansion (A95E)16 to a decimal expansion.

Answers

The hexadecimal expansion [tex](A95E)_{16}[/tex] is equal to the decimal expansion 43358. This conversion is achieved by assigning the positional values of each digit in the hexadecimal number and evaluating the corresponding decimal values.

To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum up the results. Starting from the rightmost digit, the value of A in hexadecimal is equivalent to 10 in decimal. The next digit 9 represents the value of 9 in decimal. Continuing in the same manner, the digit 5 represents 5 in decimal, and the final digit E is equal to 14 in decimal.

Now, we calculate the decimal equivalent using the formula:

[tex](10 * 16^3) + (9 * 16^2) + (5 * 16^1) + (14 * 16^0) = 43486[/tex]

Therefore, the hexadecimal expansion [tex](A95E)_{16}[/tex] is equal to 43486 in decimal.

In conclusion, the decimal equivalent of the given hexadecimal expansion is 43486.

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Question 7: The red line has an equation of y = -1/2 x + 2. The blue line is perpendicular to the red line. Write the equation for the blue line. EXPLAIN PLS

Answers

Answer:y=2+2x

Step-by-step explanation:

Perpendicular means the slope is the opposite reciprocal of the red line’s. Opposite reciprocal means that if the red line has a negative slope the blue line will have a positive one, and you flip the fraction of the red line from 1/2 to 2. The y intercept is at 2 so that’s why there is a +2

Let x, y, and z be measured in meters, and suppose that F(x, y, z) = −yi+zj+3xk is the velocity vector (in m/s) of a fluid particle at the point (x, y, z) in a steady-state in- compressible fluid flow. (a) Find the net volume of fluid that passes in the upward direction through the hemisphere z = √(9-x² — y²) in 1 s. (b) Assuming that the fluid has a mass density of 1060 kg/m³, find the net mass of fluid that passes in the up- ward direction through the surface in part (a) in 1 s.

Answers

The fluid has a mass density of 1060 kg/m³, we can multiply the net volume by 1060 to obtain the net mass of fluid passing through the hemisphere in 1 second.

To find the net volume of fluid passing through the hemisphere, we need to calculate the flux of the velocity vector across the surface. The flux is given by the surface integral of the dot product of the velocity vector and the outward unit normal vector. Since the velocity vector is F(x, y, z) = -yi + zj + 3xk, we can calculate the dot product as -y(-y) + z(0) + 3x(√(9 - x² - y²)). Simplifying, we have F · dS = y² + 3x√(9 - x² - y²).

To evaluate the flux over the surface, we need to parameterize the hemisphere. Let's use spherical coordinates: x = r sinθ cosϕ, y = r sinθ sinϕ, and z = r cosθ, where 0 ≤ r ≤ 3, 0 ≤ θ ≤ π/2, and 0 ≤ ϕ ≤ 2π. The outward unit normal vector is given by n = (sinθ cosϕ)i + (sinθ sinϕ)j + (cosθ)k. Now, we can evaluate the flux by taking the surface integral: ∫∫(F · dS) = ∫∫(y² + 3x√(9 - x² - y²)) dA, where dA is the differential area element in spherical coordinates. Integrating over the appropriate limits, we can find the net volume of fluid passing through the hemisphere in 1 second.

To determine the net mass of fluid passing through the surface, we need to multiply the net volume by the fluid's mass density. Given that the fluid has a mass density of 1060 kg/m³, we can multiply the net volume by 1060 to obtain the net mass of fluid passing through the hemisphere in 1 second.

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25 POINTS - Need ASAP . Answer word problem attached.

If you answer just for points I won’t hesitate to report so don’t try pls!

Answers

Answer:

0.82

Step-by-step explanation:

82/100 as a fraction is equal to 0.82

0.82 is the answer to ur question

somebody help I don't understand this stuff.

Answers

Answer:

Dena's answer

14ft^2

Step-by-step explanation:

Her answer is correct because area of triangle is base times height divided by two. Base is 7 and height is 4

From there, you can find the area which is 14.

hope this is correct

hello! hope this helps you

i did the area of the whole triangle minus the area of the dotted triangle.

Dena is right and the area is 14cm^2

:)

Please help will give brainliest

Answers

3 ,4,5 .....................

50 POINTS! Name a pair of whole numbers that have a geometric mean of 4.

How many pairs of rational numbers have a geometric mean of 4?

please help and don't say something random just for the points :)​

Answers

Answer:

0, 16

1, 15

2, 14

3, 13

4, 12

5, 11

6, 10

7, 9

8, 8

Step-by-step explanation:

Any two numbers that have the product of positive 16 have a geometric mean of 4.

a) Work out the size of angle x.
100
B
b) Give reasons for your answer.
co-exterior angle
to
F
Н
G

Answers

Answer:

100°= angle b(VERTICAL OPPOSITE ANGLE)

100°+x°=180°[co interior angle]

x=180°-100°

x=80°

The Measure for angle x is 80 degree.

What is Vertical Angle?

When two straight lines cross, they generate a pair of non-adjacent angles known as vertical angles. In the corners of the "X" created by two straight lines, or to put it another way, vertical angles are situated opposite one another. Due to their position opposite one another, they are also known as vertically opposite angles.

Given:

<CBD = 100 degree.

So, <ABF = <CBD (Vertical Opposite Angle)

<CBD = 100 degree.

Now, <ABF + <BFE = 180 (Angle on same side of Transversal)

<ABF + 100 = 180

<ABF = 180-100

x= 80 degree.

Hence, the measure for x is 80 degree.

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Can you explain why the bottom angle always has to be 90 degrees?

Answers

Because it has two equal sides

F(-3)=11 and f(4)=55 find value of f(-1)

Answers

11(4)=55

44=55

f=55÷44

f=1.25(-3)

-3.75

What is the length of the terrace?

Answers

Answer:

A) 12 feet or d) 10 feet..

Laney bought a cup of coffee and two cookies at her
local coffee shop. The coffee cost $1.89. She got
$1.23 back as change from the $5.00 bill she gave the
cashier. How much did each cookie cost?
Page

Answers

Answer:

each cookie was $0.94

Step-by-step explanation:

5.00 - 1.89 = 3.11

3.11 - 1.23 = 1.88

1.88 divided by 2 = 0.94

Question is in picture

Answers

i think it’s 30 meters

can you help me with this due today

Answers

The answers for are a,b, and c are:
a=15
b=8
c=17

what is x over 3 less than or equal to 7

Answers

Answer:

x≤21

Step-by-step explanation:

x/3≤7

Multiply both sides by 3

3x/3≤7×3

Simplify

x≤21

Hope this helped!!!

Streaming movies from Company A costs $3 per month per movie plus a monthly fee of $9. Streaming movies from Company Bcost $4 per movie with no monthly fee. The monthly cost to stream depends on the number of movies, m streamed. Which inequality represents the situation when the montly cost at Company A is less than the montly cost at Company B.

Answers

56 multi step equation im not sure tho because there is different method

What are they coordinates

Answers

Answer:

let ABC be a right-angled triangle, where A is the right angle (left to right)

the original coordinates:

A (-8, 8)

B (-1, 8)

C (-8, 5)

by changing the coordinates from (x, y) to (-y, x)

A (-8, -8)

B (-8, -1)

C (-5, -8)

look attachment

Can someone help me, I'll give brainliest
If cost of 15 eggs is ? 75, then find out the cost of 4 dozens eggs
A. ? 185
B. ? 150
C. ? 300
D. ? 240

Answers

Answer:

D 240

Step-by-step explanation:

75÷15 to get the cost of each egg 5

5x12 to get 60

60x4 to get d 240

Answer:

D. 240 units

Step-by-step explanation:

15 eggs                             ⇒ 75 units                     → divide by 151 egg                                 ⇒ 75/15 = 5 units          → multiply by 484 dozen = 4*12= 48 eggs ⇒ 48*5 = 240 units

Correct choice is D

I'm timed. Factor the Expression 4x - 30y

Answers

Answer:

23

Step-by-step explanation:

GCF of 4 is 2 and GCF of 30 is 6.

2(2*x)-6(5*y)

---

hope it helps

what are remainder theorem

Answers

Answer:

Step-by-step explanation:

When doing synthetic division, if the remainder is zero, we know that the divisor is a root of the polynomial.  If the remainder is not zero, the remainder is the function vaue for that divisor.

A smartphone regularly sells for $125. It is on sale this week for $85. The sale
price is what percent of the regular price?

Answers

Answer:

68%

Step-by-step explanation:

85 divided by 125 = .68 * 100 = 68

Answer: The sale price is 40 percent of the regular price

Step-by-step explanation:

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