Solve the system by substitution.
y = 5x
y = 9x + 8

Answers

Answer 1

Answer:

(-2,-10)

Step-by-step explanation:

So if y=5x and if y=9x+8 then those should be able to equal each other (substitution):

5x=9x+8

Subtract 5x from both sides:

0=4x+8

Subtract 8 from both sides:

-8=4x

Divide both sides by 4:

x=-2

If x=-2, then we can just plug it back into the first equation:

y=5(-2)

Simplify:

y=-10

Answer 2

Answer:

x = -2

y = -10

Step-by-step explanation:

So if y = 5x

Then you can put that in place of the y

5x = 9x + 8

Get the x's all on one side by subtracting

-4x = 8

Divide both sides by -4

x = -2

Then insert x into the first equation, so

y = 5(-2)

y = -10


Related Questions

So can someone just help me solve this and tell me which terms belong together....ty-

Answers

48, -5, 37, and 5 go together

Please help desperate due today please help

Answers

Answer should be 26!

If we add the second equation to the first equation, we have a new
equation: 7c+8p=29.60. Explain why the same (c, p) pair that is a solution
to the two original equations is also a solution to this new equation.
Pls help asp this is due in a few hours !!!

Answers

Answer:

2

Step-by-step explanation:

A test of a new car results in 490 miles on 10 gallons of gasoline. Calculate the unit rate of miles per gallons. Sentence Frame: The new car test indicates ____ per ____.​

Answers

Answer:

the answer is 49 miles per gallon

Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.

Answers

yes correct
0.04
step by step explanation:
i’m here for the points sorry

there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus

Answers

Answer:

40

Step-by-step explanation:

3 x 8 = 24

5 x 8 = 40

24/3 = 8

5 x 8 = 40

There are 40 girls

1.008 +7.
2-5.92 +2.34​

Answers

The answer is
4.628
Hope that helps <3

Answer: 4.628

Step-by-step explanation:

solve the square root of 2x-5=x-4​

Answers

Answer:

Simplifying
2x + -5 = x + -4

Reorder the terms:
-5 + 2x = x + -4

Reorder the terms:
-5 + 2x = -4 + x

Solving
-5 + 2x = -4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-5 + 2x + -1x = -4 + x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 1x = -4 + x + -1x

Combine like terms: x + -1x = 0
-5 + 1x = -4 + 0
-5 + 1x = -4

Add '5' to each side of the equation.
-5 + 5 + 1x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -4 + 5
1x = -4 + 5

Combine like terms: -4 + 5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.

You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:


Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.


2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:

Answers

Answer:

There we go!!!

You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now

Answers

Answer: 2x+17

4x+12-(2x-5)
4x+12-2x+5
2x+17


g(x) = 4f(x)

Is this a vertical or a horizontal translation

Answers

Answer:

this is a vertical

Step-by-step explanation:

Please help I need it fast thanks!

Answers

Answer:

B

Step-by-step explanation:

The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?

Answers

Answer:

5 cm

Step-by-step explanation:

The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.

Distance = D

Weight = W

Hence:

D ∝ W

D = kW

Where k is constant of proportionality

Step 1

We solve for k

If a spring stretches 2 cm when a 30 gram weight is hung from it.

2 = 30k

k = 2/30

k = 1/15

Step 2

how far will it stretch when a 75 gram weight is hung from the spring?

D = kW

We are solving for D

k = 1/15

D = 1/15 × 75

D = 5 cm

The spring would stretch 5cm with a weight of 75 gram.

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

The answer is a! good luck

Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1

Answers

Answer:

-5x+4

Remainder: x^2+5x-3

Step-by-step explanation:

I hope this is helpful

Identify the imaginary part of this complex number:

(1)/(2)+(-7)/(2)i

Answers

Answer:

-7/2i

Step-by-step explanation:

The imaginary part of the complex number is -7/2.

What is complex form?

A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.

We know a complex form,

a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part

So,

[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]

Compared to the standard form,

-7/2 is the imaginary part.

Therefore, -7/2 is the imaginary part.

To learn more about the complex form;

https://brainly.com/question/11741181

#SPJ2

If I got 562 on my 7th grade Math Diagnostic then what grade level am I?

Answers

Answer:

7th grade, I think

I looked it up but I am not 100% sure

Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Answers

Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

Please help fast!!

composition of functions

g(x)=2x-5 h(x)=x^2-2

find g(h(-8))

Answers

Answer:

g(h(- 8)) = 119

Step-by-step explanation:

Evaluate h(- 8), then substitute the result obtained into g(x), that is

h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then

g(62) = 2(62) - 5 = 124 - 5 = 119

G (h(-8)) = 118

Hope this helps

Solving linear equation study island

Answers

Answer:

Step-by-step explanation:

(x-9)/5))(5) = 2(5)

answer is B

Easy area question

Need fast

Answers

Answer:

Ah I see it's the same it's a little more complex but I can do this as well.

But I can't type bcoz it will make it slow

so I'll write for this.ß

My guys do you thing pls help I will give brainliest

Answers

Answer:

22

Step-by-step explanation:

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?

Answers

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

Find the highest common factor of 55 and 605

Answers

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

Suppose that y varies directly with x, and y=12 when x=15
Write a direct variation equation that relates x and y.
Find y when x=2

Answers

Answer:

[tex]y = 1 \frac{3}{5} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

write the ratio
14:56
in it's simplest form

Some one please help me !!!

Answers

Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

what are the next 2 terms in the sequence

Answers

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

Factor the following polynomial fully.

10x^2 + 16x – 8

A. 2(5x – 4)(x + 1)
B. (2x + 4)(5x – 2)
C.(10x – 8)(x + 1)
D.2(x + 2)(5x – 2)

Answers

The correct answer is D
The answer to your question is D

Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question

Answers

Answer:

Jackie collected 61 coins and 20 stamps

Step-by-step explanation:

Solving (a): Variable representation

Let the coins be represented with c

Let the stamps be represented with s

Solving (b): Setup equation

Total is 81. This implies that:

[tex]s + c = 81[/tex]

Also:

[tex]c = 1 + 3s[/tex]

Solving (c): Solve the system

Substitute 1 + 3s for c in [tex]s + c = 81[/tex]

[tex]s + 1 + 3s = 81[/tex]

Collect Like Terms

[tex]s + 3s = 81-1[/tex]

[tex]4s= 80[/tex]

Divide both sides by 4

[tex]s = \frac{80}{4}[/tex]

[tex]s= 20[/tex]

Substitute 20 for s in [tex]c = 1 + 3s[/tex]

[tex]c = 1 + 3 * 20[/tex]

[tex]c = 1 + 60[/tex]

[tex]c = 61[/tex]

Solving (d): Solution statement

Jackie collected 61 coins and 20 stamps

A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?

Answers

Answer:

length of arc=80/360×2πr

88×360=80×2×22/7×r

31680×7/(80×2×22)=r

r=221760/3520=63

diameter=2r=2×63=126

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