Consider the following pair of equations: y = x + 4 y = −5x − 2 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer 1

Answer:

(-1, 3)

Step-by-step explanation:

to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.

this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:

(x+4)=-5x-2

then solve for x

6x=-6

so x=-1

since we know the x value, we can solve for y

y=x+4

y=-1+4

y=3

so the final answer is (-1, 3)

Answer 2

Answer:

(- 1, 3 )

Step-by-step explanation:

Given the 2 equations

y = x + 4 → (1)

y = - 5x - 2 → (2)

Substitute y = x + 4 into (2)

x + 4 = - 5x - 2 ( add 5x to both sides )

6x + 4 = - 2 ( subtract 4 from both sides )

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

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 1 + 4 = 3

solution is (- 1, 3 )


Related Questions

PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!!

How much would be earned on a $425 deposit earning 3% simple interest for 2 years?

A. $12.75

B. $25.50

C. $25.88

D. $38.25

Answers

Answer:

B

Step-by-step explanation:

I=prt

I=$425*2*3/100

I=25.5

What is the area of the rectangle?
A 1
3 square meter
B 1
6 square meter
C 1
6 1 square meters
D 1
3 1 square meters
1
2
2
3

Answers

Where is the rectangle

a Cone
15.1: Which Has a Larger Volume?
The cone and cylinder have the same height, and the
radii of their bases are equal.
Do you think the volume of the smaller one is more or
less than the volume of the larger one? Explain your
reasoning
8
8

Answers

Answer:

The cylinder has the larger volume. this is because the formula for the volume of a cone and cylinder are the same but the cone has the fraction 1/3.

So, three cones can fit into the cylinder, so it is less then one half

Find the slope of: (12,-2) and (4, -6).

Answers

Answer:

Slope is 1/2

Step-by-step explanation:

Brainliest please!

Simplify the expression below.

(xy)^8
A.
xy^8
B.
x^8y^8
C.
8xy
D.
8xy^8

Answers

Hopes this helps:

Answer: B. x^8y^8

Have a great day.

Find the trig ratio. Reduce to
lowest terms.
6
А
8
[?]
COS A =

Answers

COS A=0.8

Step-by-step explanation:

2^6+8^2

100

sqrt(100)=10

8/10

0.8

Answer:
cos is 4/5
tan is 3/4
and sin is 3/5

help me answer this question 4 (1-20)​

Answers

Your answer to this question is -76

Alex brought 48 cookies to school to celebrate his birthday. He gave 9 to teachers. He then shared equally the remaining cookies with his 18 classmates. How many cookies remained?

Answers

Answer:

3 cookies

Step-by-step explanation:

After he gave nine cookies to teachers,he have 39 cookies left.He shared 36 cookies to his 18 classmates at the rate of 2 cookies per person.Then,3 cookies remained.I may be wrong but,it is answer according to me.

hope it helps u and keep smiling :)

The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step? 3m − − 3m − − 3m − − 3m − −

Answers

Given:

Consider the below picture attached with this question.

The given expression is:

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

To find:

The next step.

Solution:

We have,

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

Cancel out the common factors.

[tex]=3m-\dfrac{4}{3}-\dfrac{2}{m}[/tex]

Therefore, the correct option is D.

A zoo charges a rental fee plus $2 per hour for strollers.the total cost of 5 hours is $13. Assume the relationship is linear find and interpret the rate of change and initial value
A=rate of change is $5/hr and the intial value or rental fee is $13
B=rate of change is $13/hr and the initial value or rental fee is $5
C= Rate of change is $3/hr and the intial value or rental fee is $2
D=rate of change is $2/hr and the intial value or rental fee is $3
How do I show work

Answers

Answer:

D

Step-by-step explanation:

calcular el perímetro de un rectángulo con un lado x+2 y otro lado de x-2 sabiendo que el area de 32cm

Answers

Answer:

we can be bud

Step-by-step explanation:

so first you ask someone online if they want to be friends. then they say yes

Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.

Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?


Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.

Which neighbor's fencing project will take the least amount of time to complete?

Which neighbor's fencing project will take the most amount of time to complete?

Answers

Answer:

most is neighbor b

Step-by-step explanation:

1 yard is 3 feet

Answer:

Which neighbor's fencing project will take the least amount of time to complete?  Neighbor B

Which neighbor's fencing project will take the most amount of time to complete?  Neighbor C

A cylinder is 5 centimeters tall and has a radius of 2.1 centimeters. Find the vilume to the nearest tenth.
A. 33.0 cm3^
B. 61.2 cm3^
C. 65.9 cm3^
D. 69.2 cm3^

BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

The Answer is 69.27

Step-by-step explanation:

A dodecagonal pyramid has a surface area of 130 square inches. A similar dodecagonal pyramid has a surface area of 2080 square inches. If the larger pyramid has a height of 32, what is the height of the smaller dodecagonal pyramid?

Answers

Answer:

8 in.

Step-by-step explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So,  [tex]\frac{2080}{130} = \frac{32^{2}}{h^{2} }[/tex]

[tex]h^{2} = \frac{32^{2} * 130 }{2080}[/tex]

[tex]h^{2} = 64[/tex]

h = 8 in.

What is the circumference of a circle with a diameter of 72 feet? Leave your answer in
terms of pi.

Answers

Answer:

72π feet

Step-by-step explanation:

circumference of circle= 2πr

Diameter= 2(radius)

radius of circle

= 72 ÷2

= 36 ft

Circumference

= 2(π)(36)

= 72π ft

frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month. Write an equation that Frank can solve to determine the amount of money he still has to save (y) in relation to the number of months (x) in which he saved money. what is the slope of that equation?

Answers

(y) would be the amount of money he still needs to save and (x) would be the number of months he saved money. He plans to save $75 a month, and he has to save $600 in total. He still has to save 600 - 75x. So, the equation would be y = 600 - 75x.

Identify a point that is 2 units away from (12, -34). Your answer should be
an ordered pair. (x, y) *

Answers

Answer:

I don't know lol

Step-by-step explanation:

To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

find the value of x in the figure





Answers

Answer:

70degrees

Step-by-step explanation:

Using the theorem;

Angle at the vertex is the half of the difference of the angles at its intercepted arcs

Angle at the vertex = 24 degrees

difference of the angles at its intercepted arcs = 118 - x

According to the theorem;

24 = 1/2(118 - x)

Cross multiply

24 * 2 = 118 - x

48 = 118 - x

x = 118 - 48

x = 70degrees

Hence the value of x is 70degrees

A store donated 4 ½ dozen cookies for a fundraiser. Another store donated 3 ¼ dozen cookies. How many dozen cookies did they donate altogether?

Answers

Answer:

the number of dozen cookies donated altogether is [tex]7\frac{3}{4}[/tex]

Step-by-step explanation:

Given that

The store donated 4 1 ÷ 2 dozen cookies

And, the another store donated 3 1 ÷ 4 dozen cookies

we need to find oyt the no of dozen cookies donated altogether is

[tex]= 4 \frac{1}{2} + 3 \frac{1}{4} \\\\= \frac{9}{2} + \frac{13}{4} \\\\= \frac{18 + 13}{4} \\\\= \frac{31}{4}\\\\= 7\frac{3}{4}[/tex]

Hence, the number of dozen cookies donated altogether is [tex]7\frac{3}{4}[/tex]

PLEASE HELP FAST Looking for the bottom angle to find my answer! 30 POINTS

Answers

I believe it’s 33 degrees

x = 242.7 m

Step-by-step explanation:

First we need to find the angle at one of the parachutists:

180 - 57 - 43 = 80°

We then use sine law to find the distance between the parachutists

[tex] \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } [/tex]

Solving for x

[tex]x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m[/tex]

Find the volume of triangular prism. NO LINKS

Answers

Answer:

504

Step-by-step explanation:

Top brainlist question
what is the size of angle QSR?​

Answers

Answer:

2x = 140  x = 70

Step-by-step explanation:

If you add the other 2 angles together, you get 150. Subtract 150 from 360 to get 210. Divide that by 3 and you get 70. Because QRS is 2 times the size of PQR, it is equal to 140.

Hope that this helps!

Explanation:

The sum of the interior angles of a quadrilateral is 360°.

x + 2x + 80 + 70 = 360

3x + 150 = 360

3x = 210

or

x = 70°

Therefore

angle Q = 70°

angle R = 2x = 140°

Willl give brainlyist if quick its timedd

Answers

Answer:

feel like its C

Step-by-step explanation:

Heather, Jim, and Felipe served a total of 90 orders Monday at the school cafeteria. Felipe served 3 times as many orders as Heather. Jim served 5 more orders than Heather. How many orders did they each serve?

Answers

Answer:

Heather served 10 orders.

Felipe served 30 orders.

Jim served 50 orders.

What we know:

Let's refer to each person by their first initial (H, J, & F)

H + J + F = 90

F = 3 * H

J = 5 * H

Substitution:

Let's replace F and J by their equivalents in relation to H (basically making the entire left side only H)

H + (5 * H) + (3 * H) = 90

H + (5H) + (3H) = 90

9H = 90

H = 90/9

H = 10

Final Calculations

Now that we know how many orders Heather served, we can calculate how many Jim and Felipe served

F = 3 * H

F = 3 * 10

F = 30

J = 5 * H

J = 5 * 10

J = 50

Tyler tried to solve an equation step by step.
3(x+4)=-18

Answers

Answer:

3(x+4)=-18

x+4= -18 -3

x+4= -21

x= -21 -4

x= -25

Hope this helps! :D

Find sin(cx) in the triangle.
A. 20/29.
B. 20/21
C. 21/29
D. 21/20

Answers

Answer:

[tex]{\small{\mathcal{\underline{\underline{\blue{ here \: is \: your \: solution...}}}}}} \\ \\ \small\mathfrak\purple{ \sin( \alpha = \: perpendicular \div hypotenuse \: ) } \\ \\ \small\mathfrak\purple{ = \: perpendicular = 20 ) } \\ \\ \small\mathfrak\purple{ \: hypotenuse = 29 \: ) } \\ \\ \small\mathfrak\purple{ \sin( \alpha = 20 \div 29}) \\ \\ {\small{\mathcal{\underline{\underline{\red{ hope \: it \: helps...}}}}}}[/tex]

hii i’ll give brainliest please help thanks :)

Answers

Answer:

b

Step-by-step explanation:

D should be correct :)
I recommend a show you should watch it’s called criminal minds

number 4, it would help this is a final

Answers

-1,3 and 1.5 or something

PLZZ HELP WITH THIS FI ITS EASY FOR YOU LOL HELPPP WITH THIS

Answers

Answer:

1. Rhombus

2. Square

3. Rectangle

4. Quadrilateral

5. Parellelogram

6. Trapezoid

7. Rhombus

8. Rectangle

9. Rhombus

Answer:

Step-by-step explanation:

1. Rhombus

2. Square

3. Rectangle

4. Kite (?)

5. Parallelogram

6. Trapezoid

7. Rhombus (?)

8. Rectangle

9. Rhombus

How many minutes are there in 19 hours?

79 minutes

190 minutes

570 minutes

1,140 minutes

Answers

Answer:

1140 minutes

because you needed to multiply 19 and 60

sk the answer is 1140

Answer:

there are 1140 minutes in 19 hours

plz mark me brainliest

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