determine the solution to each linear system by using the substitution method
y=4x+2
y=3x-2

Answers

Answer 1

Answer:

The solution is x = -4

Step-by-step explanation:

y=4x+2
we can see here that y equals 4x+2

y =3x-2

The y here is the same y, therefore we ban subtitute the first equation into the second one, like this:

y =3x-2

4x+2 = 3x-2

now just solve it algebraically.

4x + 2 - 3x = 3x -2 -3x

x +2 -2 = -2 -2

x = -4

The solution is x = -4



Related Questions

Help me please this is the last time I can retake the test!

Answers

Answer:l-11.2-4.7l

Step-by-step explanation:

how many pets do i got ill give hint

i have
11 bunny rabbits
4 dogs
1 gunie pig
3 donkeys
4 pigs
and 12 cats

how many pets do i have

Answers

Answer:

35 pets

Step-by-step explanation:

11+4+1+3+4+12=15+4+16=19+16=35

Answer:

I got in total you have 35 pets

Step-by-step explanation:

I added \(~_~)/

A father is now 38 years older than his son.Ten years ago he was twice as old as his son.How old are the father and son?​

Answers

Answer:

father's age = 86

son's age = 48

Step-by-step explanation:

86-10=76

48-10=38

38*2 = 76

Answer:

father: 86son: 48

Step-by-step explanation:

You can use your number sense to reason your way through this problem, or you can write equations for it. If the father is 38 years older than his son, and that makes him twice as old, the son must be 38 and the father 76. This was the condition 10 years ago, so their ages now are ...

father: 86son: 48

__

If you prefer to solve a set of equations, you can assign variables f, s, to the father's age and the son's age respectively.

  f = s +38 . . . . . . the father is 38 years older than the son.

  (f -10) = 2(s -10) . . . . 10 years ago, the father was twice as old as the son

The first equation gives an expression we can use to substitute into the second equation:

  s +38 -10 = 2s -20 . . . . substitute for f, eliminate parentheses

  48 = s . . . . . . . . . . . add 20-s, collect terms

  f = 48 +38 = 86

The father is 86; the son is 48.

_____

Additional comment

An age difference remains the same through the years. It is the same now as 10 years ago or 10 years in the future. A multiplying factor for ages gets smaller as years go by. Someone 3 times as old now will only be 2 times as old at some point in the future, for example.

The difference in ages is a multiple of the younger age that is 1 less than their ratio. In other words, if A is 3 times as old as B, the difference (A-B) is exactly (3 -1)×B = 2B. In the above problem, this was (f-s)=38; f/s=2, so we know 38 = (2 -1)s = s.

A line is drawn so it passes through the points (- 4, -12) and (0, - 6). What is the slope of the line? - 3 / 2 3 / 2 - 9 / 2 9 / 2

Answers

Slope = 3/2
I think that is an option, can’t really tell.

Matthew launches a ball is at 34 meters per sec from a 28 meter tall platform. The function
of the ball's height (h) at time (*) seconds after launch is h(t) = -12t^2 + 34t + 28.

Answers

Answer:

(17/6) seconds, (7/2) sec, and 0 meters.

Step-by-step explanation:

See attached image.

Answer Asap!

Match each interval with its corresponding average rate of change for q(x) = (x + 3)2.

1. -6 ≤ x ≤ 0
1
2. -3 ≤ x ≤ -2
-4
3. -6 ≤ x ≤ -3
-1
4. -6 ≤ x ≤ -4
0
5. -4 ≤ x ≤ -3
3
6. -3 ≤ x ≤ 0
-3

Answers

Answer:

Between 1 and 2, the graph goes over 4 and down 1, so the slope is -1/4

Between 0 and 1, the graph goes over 4 and down 2, so the slope is -2/4 = -1/2

We can see a trend here. For each unit interval farther to the left, the slope doubles. So, we have ...

1 ≤ x ≤ 2 : -0.25

0 ≤ x ≤ 1 : -0.5

Step-by-step explanation:

Someone please answer. It’s an easy question I just need to make sure I’ve got the correct answer.

Answers

Answer:

ur wright

Step-by-step explanation:

hope this helps:)

Which equation can be used to find the measure of arc e h g? marc e h g 80 35 = 180 marc e h g 80 35 = 360 marc e h g – 80 – 35 = 360 marc e h g – 80 – 35 = 180

Answers

To find the measure of the arc we will use the equation

mEHG+80+35=360

What is an arc of the circle?

The arc is defined as the segment on the circumference of the circle inscribed by the two radii making some angle with the center.

Now from the figure, we can see that arc Ef and FG are making an angle of 80 and 35 respectively.

Since we know that the total angle in the circle is 360 So by applying the concept.

[tex]mEHG+mEF+mEG=360[/tex]

[tex]mEHG+ 80+35=360[/tex]

Hence to find the measure of the arc we will use the equation

[tex]mEHG+ 80+35=360[/tex]

To know more about the arc of a circle follow

https://brainly.com/question/9762117

Answer:

B. mArc E H G + 80 + 35 = 360

Step-by-step explanation:

i did it


Apples picked from an orchard are put into 5 sacks and are loaded into a small
truck. If each sack contains 76 apples, how many apples are there in all?

Answers

There are now 380 apples
This is because 76(number of apples in one sack) x 5 (number of sacks)=380

if a<b<0 show that a² > b²

PLEASE SHOW STEP-BY-STEP​

Answers

Answer:

a2−b2=(a−b)(a+b).

Since a≥0 and b>0, a+b>0 and a−b<0 since a<b, thus: (a−b)(a+b)<0. So a2−b2<0. Thus a2<b2.

What is the property used in 25+0=25

Answers

math teacher said its associative

Identity property because whenever you add zero to a number you are expressing it’s identity not changing it

This is the hardest question you guys will ever see!

What is 2+2!

Also answer my other question form my acc while you are doin that:)

Answers

Answer:

4

Step-by-step explanation:

2 plus 2 = 4

Answer:

OMG 2+2?!?!?! lol 4 xD I'll answer your other too.

Step-by-step explanation:

6 = 2(y+2)

What does y equal?

Answers

Answer:

y = 1

Step-by-step explanation:

[tex]\frac{6}{2}=\frac{2(y+2)}{2}\\ \Leftrightarrow 3-2=y=2-2\\\Leftrightarrow y=1[/tex]

The solution to the given equation 6 = 2(y+2) is y = 1, which is determined by distribution and arithmetic operations.

The equation is given as follows:

6 = 2(y+2)

To solve the equation 6 = 2(y + 2) for y, we need to isolate y on one side of the equation.

First, distribute the 2 on the left side by multiplying it with y and 2:

6 = 2y + 4.

Next, move the constant term (4) to the other side of the equation by subtracting it from both sides:

6 - 4 = 2y

2 = 2y

y = 2/2

Apply division operation to get:

y = 1

Therefore, the solution to the given equation is y = 1.

Learn more about the equations here:

brainly.com/question/13947055

#SPJ6

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Use the note that Linear pairs have sum 180°

TD is a straight line

[tex]\\ \rm\rightarrowtail m\overset{\frown}{CD}+122=180[/tex]

[tex]\\ \rm\rightarrowtail m\overset{\frown}{CD}=180-122=58°[/tex]

Now

DB arc be x

A whole angle is 360° or 2π

[tex]\\ \rm\rightarrowtail x+122+58+90=360[/tex]

[tex]\\ \rm\rightarrowtail x+270=360[/tex]

[tex]\\ \rm\rightarrowtail m\overset{\frown}{DB}=90°[/tex]

Answer:

90

Step-by-step explanation:

I need this answered please

Answers

Answer:

50m squared

Step-by-step explanation:

2=5

4=10

5x10=50m squared.

Identify the type of bias involved in this sampling design: A coffee company in Cincinnati wants to know what percent of local households drink coffee at least twice a week. A company representative calls 400 randomly-selected households during the daytime and finds that 50% of those who responded drink coffee at least twice a week. Wording of question bias Non-response bias Response bias Undercoverage

Answers

Answer:

Undercoverage Bias

Step-by-step explanation:

Undercoverage Bias occurs when some members of the population under study that should be included in the study are omitted. This then means that the sample is not a true representation of the entire population. In the sampling design above, a problem that would most likely occur would be undercoverage bias.

This is because the sample that was chosen for the study did not represent the entire population of the local households. Since they came during the daytime to conduct their poll, they have omitted members of the population who go to work and may not be at home at the time of the poll.


If both Jackrabbit and Red Fox
started the podcast download at 10:05 A.M.,
at what time did each service complete its
download? What was the difference between
these times?

Answers

Answer:

different between the two are that they are am and pm

Can anyone please help me with this problem!

Answers

Answer:

B) 46,145

Step-by-step explanation:

since there are 1760 yards in a mile, we just multiply 1760 by 26 then add 385 yards to that total.

please rate and mark as brainlest.

Emily bought 51 yards of fabric to make curtains,
How many inches of fabric did Emily buy?
Emily bought
inches of fabric.

Answers

51 x3 is 153 is 153 x 12 is 22032

Answer:

Emily bought 1,836 inches of fabric.

Step-by-step explanation:

To figure this out we need the conversion factor of 1 yard = 36 inches.

So this will allow us to do simple multiplication which would look like this - 36 × 51.

When multiplied it ends up as 1,836 inches.

PLEASE HELP !! I NEED IT! "Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B ?

Answers

Answer:

yes

Step-by-step explanation:

Huilans age is two times Thomas’s age. The sum of their age is 25. What is Thomas age? (Please help)

Answers

Answer:

Hulain is 10 and Thomas is 5

Step-by-step explanation:

soooo

add variables

thomas age: t

hulians age: h

h = 2t

15 = t + 2t

umm i dont remember if you can add t and 2t they have the same um variable and power ig. if you can then:

15 = 3t

t = 5

sooo now hulians turn!

h = 2t

h = 2(5)

h = 10

Assign two digits to the right of 2014 so that the resulting six-digit number is divided by 101. What are the two digits? I need the answer ASAP.

Answers

Answer:

201495

Step-by-step explanation:

You can reverse this by multiplying 101 by 1995 which will give you that.

not good at explaining, am sorry.

Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:


Group A (distance in miles) 1 1.5 8 9.2 6.8 4.5 4.8 2.5 0.76
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8


Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
The value for group A is double the value for Group B.
The value for group B is three times the value for Group A.

Answers

Answer:

C. The value for Group A is double the value for Group B

Step-by-step explanation:

First, you add all the numbers from each group.

A: The distance in total is 39.06

B: The distance in total is 19.53

To find the mean, which is another way of saying the average, you divide the sum with how many numbers there are. (hope this makes sense, I suck at wording)

A: There are 9 numbers in total, hence, 39.06/9 = 4.34

B: There are 9 numbers in total, hence, 19.53/9 = 2.17

Those are the mean distance for the two groups.

2.17 * 2 = 4.34

Hence, C (third statement)

Answer:

C. Its value for Group A is double the value for Group B.

Step-by-step explanation:

I could be wrong, but its the only answer of its kind

Solve the system of equations by the substitution method.
y = 5x + 6
y=9x+7.

Answers

Answer:

(-1/4, 19/4)

Step-by-step explanation:

5x+6=9x+7

-4x=1

x= -1/4

y=5(-1/4) +6

y=19/4

Please help me! The correct answer will get brianliest!!!

Answers

Step One, Find out the radius of the inner circle:

Circumference = 2πr

Circumference = 12.56

12.56 = 2πr

12.56/3.14 = 2r

4 = 2r

r = 2m

Step Two, Find out the radius of the entire circle:

2m + 3m = 5 m

Step Three, Find out the radius:

Area of circle = πr^2

Area of circle = 3.14 * 5^2

Area of circle = 3.14 * 25

Area of circle = 78.5 square meters

2. Is (-3, -9) a solution of the equation y 3x?​

Answers

Answer:

if you mean y=3x, then yes

Step-by-step explanation:

solution:

substitute s by -3, we obtain

y= 3 (-3)

y= -9

So, if x= - 3 then it's y= - 9

20 pointsIn the figure below, which answer choice correctly identifies the name of two line segments?
A . B .C. D

Answers

Answer: C

Step-by-step explanation:

We know that the only three possible endpoints are F, G, and H. The only option that only uses these endpoints is C.

Please help I don’t need an explanation just an answer will be fine!!!

Answers

Answer:

slope: -1x

y-intercept: 3

Step-by-step explanation:

Answer:

y-int: 3    slope: -5/6

Step-by-step explanation:

Goes through point (0,3) and decreases 5 units downward and 6 units over (to the right)

Which choice best describes the slope of the line that passes through (0, 0) and (5, 0)? A. B. 0 C. D.

Answers

Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{0-0}{5-0} }[/tex]

[tex]\bold{\displaystyle\frac{0}{5} }[/tex]

[tex]\bold{0}[/tex]

There's an easier way to determine the slope.

As you can see, the y-coordinates of the points that the line passes through (0, 0) --> the origin and (5, 0).

This means the slope's 0.

Remember that

if the points that a line passes through have the same y-coordinates, then the slope of the line is 0.

Hence, the slope's 0.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

[tex]\text{A teen whose hobby is helping others}[/tex]

Answer:

The answer is 0

Step-by-step explanation:

I'm pretty sure. The person above me helped :) please give him/her brainliest

John's house is 12 miles away from school. He is
2/3 of the way home. How many miles has he walked?
08
O 16
O 18
O 24

Answers

Answer:

the answer is 8 miles

Step-by-step explanation:

Answer:

Maybe It should be 8.

Step-by-step explanation:

Maybe 8 because if he walked only 2/3 of a mile than it can't be bigger than 12. If you understand what I'm saying. If he walks 12 miles from home to school than it can't be more than the number your starting with. Im not  actually sure that much but try it!

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