Consider the following pair of equations.
Y = x + 4
Y = -2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write down the solution in (x, y) corn.

Answers

Answer 1

Answer:

(- 2, 2 )

Step-by-step explanation:

Given the 2 equations

y = x + 4 → (1)

y = - 2x - 2 → (2)

Substitute y = x + 4 into (2)

x + 4 = - 2x - 2 ( add 2x to both sides )

3x + 4 = - 2 ( subtract 4 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

Substitute x = - 2 into either of the 2 equations abd evaluate for y

Substituting into (1)

y = - 2 + 4 = 2

solution is (- 2, 2 )


Related Questions

An expression is shown -5.75 + 6.5, what is the value of the expression

Answers

Answer:

0.75

Step-by-step explanation:

You are just combining like terms since there are no variables:

-5.75 + 6.5 is the same as,

6.5 - 5.75

= 0.75

1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem

Answers

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

the stove you have to bake in is an old one and only has the temperature in ° Fahrenheit. You are making rusks and have to dry them overnight at a temperature of 176°.Convert this temperature to ° Celsius​

Answers

Answer:

[tex]80^{\circ} C[/tex]

Step-by-step explanation:

You are making rusks and have to dry them overnight at a temperature of 176° F.

The given temperature is in Fahrenheit. We need to convert it into °C.

The relation between Fahrenheit and  °C is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex]

Put F = 176

So,

[tex]C=\dfrac{5}{9}(176-32)\\\\C=\dfrac{5}{9}\times 144\\\\C=80^{\circ} C[/tex]

So, the temperature is equal to [tex]80^{\circ} C[/tex].

Which of the following expressions is equivalent to the expression?

Answers

Answer should be C! Have a great day!

PLEASE HELP ON THIS TOO! I need major help! Please explain it the best you can bc I rlly need help :(

Answers

Step-by-step explanation:

Use the rotation rule,

90 degree clockwise rule is

[tex](xy) = ( y)( - x)[/tex]

Plot the points of the pre image

[tex]( - 3)(0)[/tex]

[tex]( - 2)( - 4)[/tex]

[tex]( - 1)( - 2)[/tex]

Use the rule that turns into,

[tex](0)(3)[/tex]

[tex]( - 4)(2)[/tex]

[tex]( - 2)(1)[/tex]

Plot the new points. in the coordinates above.

SOMEBODY HELP ME PLEASE

Answers

Answer:

90

Step-by-step explanation:

9*6=54

54*5= 270

270/3=90

The passengers on Fly Right Airlines have their choice of snacks: peanuts, raisins, or granola. They also have the choice of four beverages: juice, water, milk, or coffee. All choices are equally popular. What is the probability a passenger would choose granola and juice? .

Answers

Answer:

The probability of them picking granola is 1/3

The probability of them choosing juice is 1/4

Step-by-step explanation:

Hope it helps :)

HELP I MARK BRAIN thing

Answers

Answer:

It would be A. x < 6

Step-by-step explanation:

The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it

A dog walking company charges $90 to walk 6 dogs. They charge the same amount of money to walk each dog. Which table represents the relationship between the number of dogs the company walks and the amount of money they charge?

Answers

Answer:

15

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did k12

HELPPPPP ASAP 10 POINTS

Answers

Answer:

area = 38.47 cm²

Step-by-step explanation:

area = 1/4(3.14)(7²) = 38.47 cm²

In Phoenix, Arizona, the average temperature is 85 degrees Fahrenheit or higher during 25% of the year. During about how many weeks of the year is the average temperature below 85 degrees Fahrenheit?

Answers

Answer: 39 weeks

Step-by-step explanation:

Given

The average temperature is [tex]85^{\circ}F[/tex] or higher

A year has 52 weeks

It is given 25% of the time-temperature is above [tex]85^{\circ}F[/tex]

So, in the remaining 75% of the weeks, the average temperature is less than [tex]85^{\circ}F[/tex]

No of weeks can be determined by

[tex]\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}[/tex]

-3×4y = (4+5y)-72 answer fast with steps plz

Answers

Answer:

-12y=5y-68     true for all X

Step-by-step explanation:

-3x4y=(4+5y)-72

simplify:

-3x4y=12y

simplify:

(4+5y)-72

remove parentheses:

4+5y-72

subtract the numbers:

4-72= -68

=5y-68

-12y=5y-68

Answer:

the answer would be 4

Step-by-step explanation:

−3(4y)=4+5y−72

−12y=4+5y+−72

−12y=(5y)+(4+−72)(Combine Like Terms)

−12y=5y+−68

−12y=5y−68

Step 2: Subtract 5y from both sides.

−12y−5y = 5y−68−5y

−17y= −68

Step 3: Divide both sides by -17.

−17y                    -68

------------       =   -----------

-17                        -17

y = 4

A pioneer family travels for 30 hours at maximum speed in a covered wagon. Their neighbor walks 20 hours at a pace of 3 miles per hour. Which group traveled the greater distance?

Answers

If the covered wagon travels faster than a walking pace if 3mph the wagon will travel further.

Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds

Answers

Answer:

C. 15 seconds

Step-by-step explanation:

It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.

A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.

A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×​

Answers

Answer: B. y = 6000(1.06)×

Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).

A) are un număr de 6 vârfuri, 9 muchii, 5 feţe. b) bazele prismei sunt ......................................................................... c) muchiile laterale sunt .......................................... Pe planele bazelor. 2) Pentru o prismă triunghiulară regulată cu latura bazei de 6 cm şi înălţimea de 43cm: a) suma lungimilor tuturor muchiilor este de .................. Cm; b) aria bazei este de ......... Cm2; c) aria laterală este de ......... Cm2; d) aria totală este de ......... Cm2; e) volumul este de ......... Cm3.

Answers

Answer:

A

Step-by-step explanation:

I need help solve this problem please

Answers

Answer:

X=5

15x=75

Step-by-step explanation:

Find the perimeter of quadrilateral ABCD with vertices A=(1,1) B=(4,4) C=(7,1) D=(4,-2). Explain your answer.​

Answers

we have the coordinates of ABCD

there are 2 ways of doing this one is you find the distance of ab, bc, cd and da and then add the answers together. there is another way but i dont remember it properly so i am just gonna do it this way

distance between 2 point = [tex]\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

AB

[tex]d = \sqrt {(4 - 1)^2 + (4 - 1)^2}[/tex]

[tex]d = \sqrt {(3)^2 + (3)^2}[/tex]

[tex]d = \sqrt {9 + 9}[/tex]

[tex]d = \sqrt 18[/tex]

AB = 4.24

now repeat the same with all

BC= 4.24

CD= 4.24

DA= 4.24

so its a square with all the same sides so perimeter is 4 x 4.24

perimeter is 16.96

hope this helps

mark me as brainliest please

What is the length of the arc by a central angle of 85 degrees and a radius of 8cm to the nearest tenth of a cm?

Answers

9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

Arc length is given by ...

  s = rθ . . . . . . θ is the central angle in radians

Your central angle is 85°, so is (85/180)π radians = 17/36π radians.

Then the arc length is ...

  s = (8 cm)(17/36π) ≈ 11.9 cm

The length of the 85° arc is about 11.9 cm.

Write an equation (any form) for the quadratic graphed below. Y=

Answers

Answer:

y = -2x^2 - 4x - 1

Step-by-step explanation:

We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).

Let's solve

ax^2 + bx + c = y

a(-2)^2 + b(-2) + c = -1

4a - 2b + c = -1

a(-1)^2 + b(-1) + c = 1

a - b + c = 1

a0^2 + b0 + c = -1

c = -1

we got c = -1 so we input it into the other 2

4a - 2b - 1 = -1

4a - 2b = 0

2a - b = 0

2a = b

a - b - 1 = 1

a - b = 2

a = b + 2

Let's input b = 2a

a = 2a + 2

-a = 2

a = -2

b = 2a = 2*(-2) = -4

c = -1

y = -2x^2 - 4x - 1

What is a correct name for the angle shown? R S T O LE O ZS O LEITE O LEFT​

Answers

Answer:

RTS.

Step-by-step explanation:

This is an obtuse angle.

Where does 8\10 go on a splited number line

Answers

Answer:

image

Step-by-step explanation:

on image, ignore the p, q and r...

pls help meeeeeeeeeeeeeee

Answers

Answer:

73

Step-by-step explanation:

13+15(4) = 73

it is c, 73. all you do is plug 4 in for x then multiply and add

the area is approximately ___ square ft.

use 3.14 for pi​

Answers

Answer:

200.96

Step-by-step explanation:

divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -2,- 2+i. ​

Answers

Answer:

f(x) = x^3 + 2x^2 + x + 2

Step-by-step explanation:

If -2 + i is a zero, then -2 - i must also be a zero.

These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).

(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.

Multiplying this result by the 3rd and last factor, (x + 2), we get

(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2

Check, using synthetic division.  What are the factors of x^3 + 2x^2 + x + 2?

-2   /   1    2    1    2  

              -2   -2   -2

     -----------------------

         1      0    -1    0                  Since the remainder is zero, we know that

                                                    (x + 2) is a factor and -2 is a root.

Write 3.1415×106 in standard notation

Answers

Answer:

332.999

Step-by-step explanation:

juice wrld

A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas? 36 meters 3,600 meters 360 meters 36,000 meters​

Answers

Answer:

36,000 meters. 12km= 12,000m multiply by 3l of gas.

Step-by-step explanation:

The car will travel 36000 meters using 3 liters of gas as per linear equation.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Given, a car uses 1 liter of gas every 12 kilometers.

Therefore, using 3 liters of gas, the car will go

= 3 × 36 kilometers

= 36 kilometers

= 36000 meters

With 3 liters of gas, the car will travel 36000 meters.

Learn more about a linear equation here: https://brainly.com/question/18840245

#SPJ2

1.19x10^-7 in standard notation

Answers

Answer:

it should be 1.19 x 10^-7

Step-by-step explanation:

Hope its correct.

20 points for correct answer

Answers

Answer:

0.167 is rational

2/6 is rational and the other two is irrational

:)

Step-by-step explanation:

4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2

Answers

I think the answer is C
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