Mathematics High School

solving systems equations: substitution
y=6x+5
y=4x+5

Answers

Answer 1

6x + 5 = 4x + 5
2x + 5 = 5
2x = 0, x = 0
Y = 6(0) + 5, y = 5
Solution: x = 0, y = 5

Answer 2

Answer:

y=6x+5 →equation 1

y=4x+5 → equation 2

you can either substitute equation 1 in 2 or equation 2 in 1

substituting equation 1 in 2,

y = 4x + 5

6x + 5 = 4x + 5

6x - 4x = 5 - 5

2x = 0

x = 0/2

x = 0

substituting x = 0 in equation 1, (to get y)

y = 6x + 5

y = 6(0) + 5

y = 0 + 5

y = 5

hope it helps you!!

Related Questions

Un groupe d'amis décide d'organiser une sortie au restaurant. Ils prennent contact avec un restaurateur qui leur propose une formule à 20 € par convive. Le jour de la sortie, cinq personnes ne peuvent venir. Les participants doivent alors payer 22 € par personne. Combien de personnes étaient initialement prévues ?

Answers

Answer:

Step-by-step explanation:

Assuming that, initially, there were x people at the time of planning.

As given that, initially, the cost for 1 person = € 20

So, Total cost = € 20x ...(i)

As on the day of the outing, five people cannot come, so the number of people on the outing = x-5.

Now, due to the lesser number of people, i.e (x-5), the cost for 1 person = € 22.

Total cost = € 22(x-5) ...(ii)

As total cost remains the same, so equation the total cost from equations (i) and (ii), we have

[tex]20x= 22(x-5) \\\\\Rightarrow 20x=22x-22\times 5 \\\\\Rightarrow 22x-20x= 110 \\\\\Rightarrow 2x=110 \\\\\Rightarrow x=110/2=55.[/tex]

Hence, at the time of planning, there were 55 people.

Is the following not a function ?

Answers

Answer:

Yes

Step-by-step explanation:

The "x" is not supposed to be the same. The input has to be different.

The answer is Yes it a function

who can help me . “ GIVEN THE FOLLOWING INFORMATION , WRITE THE EQUATION IN SLOPE INTERCEPT FORM”

Answers

The answer is Y=5x+1 and y=-1x

PLEASE HELP!!! THIS IS 25 POINTS!! ILL MARK BRAINLIEST PLEASE HELP!

Answers

I don’t understand it :(

ALOT OF POINS MARKING AS BRAINLIST

Answers

chile anyways so hehhejjakwkw

Answer:

Step-by-step explanation:

HELP IF YOU SEE RIGHT AWAY

Answers

first one, x = 90
second one, x = 10, 5x = 50, 2x = 20

Answer:

For the first picture, x = 126 and therefore x - 30 = 96

Second picture:

Step-by-step explanation:

since the sum of the angles is 540°, we can say that

x + x + (x - 30) + (x - 30) + (x - 30) = 540

5x - 90 = 540

5x = 630

x = 126

therefore x - 30 = 96°

_____________________________________

2nd picture

we use the same method as we did in the first picture:

5x + 2x + 110 = 180

7x + 110 = 180

7x = 70

x = 10, 5x = 50, 2x = 20

ppppppppllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz HHHHEEEEEEEEEEELLLLL-PPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEE

Answers

Answer:

[tex]\frac{1}{5}[/tex] divided by 4

Step-by-step explanation:

Translate the phrase "Multiply by -8, then add 11" into an algebraic expression.

Answers

Think of it like PEMDAS, don’t think of the 11, first multiply.

Answer:

hiii :)

Step-by-step explanation:

(x-8)+11= (answer)

can anyone do division on paper plsss

Answers

Answer:

738.75

Step-by-step explanation:

i hope this helps im sorry if im wrong

Step 1: D for Divide. How many times will 80 go into 59100 ? ...

Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: .

Step 3: S for Subtract. Next you subtract. ...

Step 4: B for Bring down. ...

Step 1: D for Divide. ...

Step 2: M for Multiply. ...

Step 3: S for Subtract.

how do you find the slope intercept on a graph?

Answers

Answer:

The equation for slope-intercept form is y=mx+b In this form, m is the slope of the line and the b is the y-intercept. or rise/run

Step-by-step explanation:

Answer:

The rose over run so the difference vertical/ difference horizontal

Step-by-step explanation:

Which of the following is not an ordered pair from the function f(x) = -3x + 4?
A. (2,-2)
B. (5, -11)
C. (-3, 13)
D. (-6, 21)

Answers

Answer: D

Explanation: For this problem you can substitute f(x) and x for 21 and -6 respectively.

Thus, we have 21=-3(-6)+4

The correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.

To determine which of the ordered pairs is not from the function f(x) = -3x + 4, we need to substitute the x-value of each ordered pair into the function and check if it matches the corresponding y-value.

A. (2, -2)

Substituting x = 2 into the function: f(2) = -3(2) + 4 = -6 + 4 = -2

The y-value (-2) matches the given ordered pair. This is a valid solution.

B. (5, -11)

Substituting x = 5 into the function: f(5) = -3(5) + 4 = -15 + 4 = -11

The y-value (-11) matches the given ordered pair. This is a valid solution.

C. (-3, 13)

Substituting x = -3 into the function: f(-3) = -3(-3) + 4 = 9 + 4 = 13

The y-value (13) matches the given ordered pair. This is a valid solution.

D. (-6, 21)

Substituting x = -6 into the function: f(-6) = -3(-6) + 4 = 18 + 4 = 22

The y-value (21) does not match the given ordered pair (-6, 21). This is not a valid solution.

Therefore, the correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.

Learn more about the set of ordered pairs here:

https://brainly.com/question/10197233

#SPJ4

2+2=?

A- 4
B- no it's A
C- nop look at B
D- come on really? Go to College

Answers

Answer:

E- 48-x+y=1.2353783763

it’s definitely none of the above

0.65 T = ____ lb how do i awensewr this

Answers

Answer:1,300 pounds

Step-by-step explanation:

I believe ur converting tons to pounds right?

Answer:

1433.005 is ur answer

Step-by-step explanation:

You need 368cm of tape for a project, how many decimeters is this?

Answers

..............36.8 dm

368 cm of tape is equal to is 36.8 dm

whatt is -1/6 x 5/6 ok help ok

Answers

Answer:

-5/36

Step-by-step explanation:

-1*5 = -5

6*6 = 36

-5/36

Is -0.1388888889 but in a fraction is -5/36.

6th grade math help me pleaseeee

Answers

Answer:

-27

Step-by-step explanation:

Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, "I have only eaten 3/8 of the pizza. How many slices where in the pizza when it was whole

Answers

Answer:

16 pieces of pizza when the pizza was whole.

Step-by-step explanation:

You know that 6 pieces are equal to 3/8 of the pizza.

Let x represent the total number of pieces and write an equation:

-- times x = 6

Multiply each side of the equation by 8:

8 times 3

-- x = 8 times 6

3x = 48

Divide each side of the equation by 3:

3x 48

--- = ---

3 3

x = 16

On the radio one morning, a weather reporter stated that the tempature was two degrees below zero, but the tempature would cotinue to rise throughout the day. Which inequality can be used to represent readings, T, that day? A. T < -2 B. T < -2 ( _ UNDER < ) C. T > - 2 D. T > -2 ( _ UNDER >)

Answers

Answer:

T ≥ -2

Step-by-step explanation:

Given

Temperature = 2° below 0°

Required

Represent as an inequality

First, we need to calculate the temperature in the morning.

2° below 0 means.

Temperature = 0° - 2°

Temperature = -2°

Next, we determine the temperature at any time.

The question says the temperature continues to rise during the day.

Represent this with T

This means T will be greater than -2°

However, we need to consider where the temperature started from.

In other words, T = -2

Combine T = -2 and T = -2 together, we have:.

T ≥ -2

Hence, the inequality that represents the scenario is T ≥ -2

3
Edwin is collecting glass beads and gold buttons. The glass beads are worth $0.50 each and the gold buttons
are worth $0.70 each. His total collection is worth $35. The number of glass beads he has is represented by g.
and the number of gold buttons he has is represented by b. The equation 0.50g +0.70b = 35 can be used to
determine how many of each item he has.
Select all of the possible bead and button combinations based on the above criteria.
g= 70, b = 0
g=52, b = 10
g= 56, b'= 10
8= 42, b = 20
g=0, b= 100
no

Answers

9514 1404 393

Answer:

(g, b) = (70, 0), (56, 10), (42, 20)

Step-by-step explanation:

The g-intercept is 35/0.5 = 70, so (g, b) = (70, 0) is a possible combination.

The slope of the relation is such that when g goes down by 14, b goes up by 10. Other points on the line are (70 -14, 0 +10) = (56, 10) and (56 -14, 10 +10) = (42, 20).

Of those listed, the possible combinations are ...

(g, b) = (70, 0), (56, 10), (42, 20)

I NEED SOME HELP!!!
Ellena knows that 1/5 written as a decimal is 0.2. How can Ellema use this information to find the decimal equivalent for 9/5 without doing 9 divided by 5?

Answers

Answer:

Adding up 0.2 till it reaches 9 times

Step-by-step explanation:

Brainlliest pls

0.22 yeah ofcourse deffoooo

Find the measure of each missing angle

Angle 21 =

Angle 22 =

Angle 23 =

What is the sum of angles 21,22 and 23?

Answers

Answer:

Step-by-step explanation:

Angle 21 is calculated like this:

180 - 70 - 50 = 60 because a line is 180 degrees.

Angle 22 = 50 degrees because it is opposite to the upper angle of 50 degrees.

Angle 23 = 70 degrees because it is also opposite to the upper angle of 70 degrees.

The sum of the angles would be

60 + 50 + 70 = 180 degrees

what is the value of x in the triangle 50° and 55° in the bottom with x at the top 50 on the left 55 on the right

Answers

So, we know that the internal angles of a triangle add up to 180 degrees, yes?

60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.

Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!

Hope I helped!! :)

NEED HELP ASAP!! PLEASE
Please look at image before answering.

Answers

Answer:

Step-by-step explanation:

i pretty sure its a might be wrong tho but im pretty sure.

expand (4x-2) (3x + 1)

Answers

Answer: i believe it is 12x²−2x−2

Step-by-step explanation:

(4x−2)(3x+1)

=(4x+−2)(3x+1)

=(4x)(3x)+(4x)(1)+(−2)(3x)+(−2)(1)

=12x²+4x−6x−2

=12x²−2x−2

hope this helps :)

A person invests 9500 dollars in a bank. The bank pays 5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?

Answers

Answer:

6.58 years

Step-by-step explanation:

Step one:

Given data

Principal=$9500

rate= 5%= 0.05

Final amount= $13200

Required:

The time t

Step two

The expression for the compound interest is

[tex]A= p(1+r)^t[/tex]

t = ln(A/P) / r.

substitute

t = ln(13200/9500) /0.05

t= ln(1.39)/0.05

t=0.329/0.05

t=6.58 years

Answer:

6.7

Step-by-step explanation:

Help pls I’m getting timed

Which algebraic expression represents "a number divided by nine"?
9 + a
9а
9/a a/9

Answers

Answer:

a/9

Step-by-step explanation:

97.8 to the nearest tenth.

Answers

Answer: it is already rounded to the

If you mean the nearest tenths then the answer is 97.8 but if you mean the nearest tens then the answer is 100 hope this helps :)

Step-by-step explanation:

3x + 45= 60 solve for x

Answers

Answer:

x=5

Step-by-step explanation:

3x + 45 = 60

-45 -45

3x = 15

15 ÷ 3= 5

x= 5

-I hope this helps have a great day!

Please help me with this

Answers

Answer:

t = 39

Step-by-step explanation:

the diagonals of a parallelogram bisect each other, therefore t = 3t - 78 further solving this equation we get

2t = 78 and then t = 39

Calculate the measure of ∠ PMU and ∠ UPM.

m∠ PMU =
m∠ UPM =

Answers

Answer:

The Exterior Angle Theorem states that the measure of the exterior angle of a triangle is

equal to the sum of the measures of the two remote interior angles of the triangle. Angle

PMU is an exterior angle to nPBM and its corresponding remote interior angles are /PBM

and /BPM. So, I can calculate the sum of those two angle measures to find the measure

of /PMU

Step-by-step explanation:

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solving systems equations: substitution y=6x+5 y=4x+5

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solving systems equations: substitution
y=6x+5
y=4x+5