solve the simultaneous equations y=3x+2 and y=x+6

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2  (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2  (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

Answer 2

The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8.

What is the equation?

More than one variable may be present inside a linear equation.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

y=3x+2 and y=x+6

Compare both values,

3x + 2 = x + 6

3x - x = 6 - 2

x = 4/2 = 2

And, y = 2 + 6 = 8

Hence "The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8".

For more about the equation,

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Related Questions

At a local print shop, 12 copies can be made for $3. At this rate, how much would it cost to make 84 copies? Fill out the table of equivalent ratios until you have found the value of x

Answers

I'm here to get some points very sorry have a nice day

{45x+6y=15-x+18y=11 is..........................

Answers

Answer:

Step-by-step explanation:

45x+6y=15

-x+18y = 11

let's use elimination, the other way is by substitution,  either way works but, it looks to me like elimination would be easy with the  'y'

3(45x+6y=15)

135x + 18y = 45 ( subtract  2nd eq.  from 1st )

-( -x+18y = 11 )

136x +0y =34

x = 34 /136

x = 1 /4

there is X

plug that back into either of the 1st or 2nd equations to solve for y

- 1/4 + 18 y = 11

18y = 11 1/4

18y = 45/4

y = 45/4 *  1/18

y = 45/ 72

the fractions seem  "difficult"  but that's just what the given problem finds

sent a message if you don't "get it"    :)

Jane goes to H&M for some Fall clothes. She finds a scarf for $24.99, a shirt for $35.50, and a pair of jeans for $67.85. If H&M was having a Fall Day sale where everything was 35% off, how much did Jane spend at H&M?

Answers

Answer: $75.92

Step-by-step explanation:

pls mark me branliest

9 cm
8 cm
13 cm
9 cm
11 cm
O 455cm
172cm?
Submit Answer

Answers

Step-by-step explanation:

13×9+((13-8)×11)/2

117+55/2

154.5

Ryan and Taylor are both saving money to buy new video game
equipment. Ryan's savings plan can be modeled by the function
s= 15m + 50 where m represents the number of months since Ryan
started his plan, and s represents the amount of money saved in
dollars. The table shown represents Taylor's savings plan.


Taylor's Savings Plan

Number of
Month Amount Saved ($)
0 25
1 45
2 65
3 85

Select the options that correctly complete the sentences.

greather or less than -----answer

Ryan's rate of change is ________ Taylor's rate of change .

Ryan'sstaring balanced is_______ Taylor's starting balanced.​

Answers

We want to compare the rates of change and starting balances of Ryan and Taylor, the correct answers are:

"Ryan's rate of change is _less than_ Taylor's rate of change.""Ryan's starting balance is greater than Taylor's starting balance.​"

So we know that Ryan's savings plan can be modeled by:

S(m) = 15*m + 50.

This means that he starts with 50, and saves 15 per month, then:

Ryan's rate of change = 15 per monthRyan's initial balance = 50

For Taylor we have a table:

month    amount saved:

0                 25

1                  45

2                 65

3                 85

So, in month 0 he has 25, thus, his initial balance is 25.

And each month the amount saved increases by 20, then the equation is:

T(m) = 20*m + 25

Then we have:

Taylor's rate of change = 20 per month.Taylor's initial balance = 25

Now we can see that:

"Ryan's rate of change is _less than_ Taylor's rate of change."

"Ryan's starting balance is greater than Taylor's starting balanced.​"

If you want to learn more about rates of change, you can read:

https://brainly.com/question/18904995

Determine the slope of a line that passes through the following points.
(3,4), (5,7)

Answers

3.4 bc t itciyc txutxutxytxutciyxitxutcutcutcutx tx txt it

Answer:

6/4 and can be simplified as 3/2

Step-by-step explanation:

Donna bought 3 bags of dog treats for $6.93. What is the cost per bag of dog treats?

Answers

Answer:$20.79

Step-by-step explanation:

Gary bikes 3.275 kilometers.
Melissa bikes 3.24 kilometers.
Who bikes farther to get to school?

Answers

Answer:

Gary bikes farther to get to school

for the equation below y=2.5^x-6

what is the y intercept of the graph

a) -6
b) -5
c) -3.5
d) 2.5

Answers

Answer:

kvh

Step-by-step explanation:

m

18. What is the y-intercept of the line BC?
O A-2
B) -3
C) -2.3
OD 2

Answers

Answer:

18. What is the y-intercept of the line BC?

b) -3

Answer:

C

Step-by-step explanation:

It intercepts the horizontal line between -2 and -3, so that means that it is not a whole number. Therefore, the only answer possible is -2.3.

The Problem: Phillips Health and Beauty Spa is replacing one of its workstations. The interest on a loan secured by the spa was $93.50. The money was borrowed at 5.5% simple interest for 2 years. What was the amount that they borrowed?

Answers

Answer:

$850

Step-by-step explanation:

Amount that was borrowed = interest / (interest rate x time)

93.50 / (0.055 x 2) =

93.50 / 0.11 = $850

Show whether or not the points with coordinates (1,3) (4,2) (-2,6) are vertices of a right triangle

Answers

Answer:

No

Step-by-step explanation:

See attached

Answer this correctly, and you'll be awarded as brainliest.

Answers

I think it possible hopefully I’m right I’m no smarty but crossing my finger

Answer:

Possible

plz give brailiest

Which is the BEST example of a domain-specific​

Answers

Answer:

Example 2:

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

In order to graph a system of linear equations, I need my equations to be in what
form?

Answers

Answer: y= mx+b form

What number is 16% of 46? Which equation and solution represents each situation?

Answers

Answer:

the answer to this question is 7.36....its equation is 16/100*46

Answer:

7. 36 is the answer.

Step-by-step explanation:

but, what equation, and what situations?

PLZ answer this question y-5 ≥ -15

Answers

Answer:

y (is less than or equal to) 3

Step-by-step explanation:

i hope this helps :)

The value of the inequality will be : y ≥ -10 .

Given ,

y-5 ≥ -15

Here,

y-5 ≥ -15

To solve the given inequality,

Take -5 from LHS to RHS of inequality,

y ≥ -15 + 5
y≥ -10

Thus the value of y will be equal to or greater than -10 .

Know more about inequality,

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Find the coordinates of P.

Answers

Here is my answer. I hope this is helpful. If there is something you don't understand in my solution, you can ask me.

what the answer for the poles in feet.

Answers

Answer:

A)10 feet tall

Step-by-step explanation:

The man casts a shadow half his height and so does the telephone pole

Which equation can be used to answer the question below?
Christopher made 12 of the 40 recipes he downloaded from the Internet. What percent of the recipes did he make?
A X=12(40)
B 12x=40
C 12=x/40
D 12=40x

Answers

Christopher made 30% of the recipe downloaded

He made 12 of the 40 recipes he downloaded from the internet.

He downloaded a total of 40 recipes.

Percentage

Percentage is is a number or ratio that can be expressed as a fraction of 100. Therefore,

The percentage of the recipe he made can be calculated as follows;

percentage of recipe made = 12 / 40 × 100

percentage  = 1200 / 40 = 30%

Therefore, he made 30% of the recipe downloaded

learn more on equation here: https://brainly.com/question/4345896

What is the parallel line of a slope =4

Answers

Answer:

4

Step-by-step explanation:

The line must have the same slope as the original in order to be considered parallel, which in this case is 4.

can someone help please 13 points and those are the only answer options for all 4

Answers

Answer:

1 - x-axis, 2 - y-axis, 3 - y-axis, 4 - x-axis

Step-by-step explanation:

4x+a=4x+3. How do you get to 6? Please explain and write down like you would write on paper. ​

Answers

Answer:

a=3 x= all reals

Step-by-step explanation:

I actually did not get 6 for an answer

4x+a=4x+3

cancel equal terms on both sides of the equation

a=3  

which means the x would be all reals cause it is true.

What is 200×300?

A. 60,000

B. 5,000

C. 50,000

D. 6,000​

Answers

Answer:

A. 60,000

Step-by-step explanation:

The answer is A because 2 × 3 is 6 then you add the 4 0's. So it would be 60,000

The MTC Theater holds 250 people, and last night’s performance sold out!  Students paid $3.00 per ticket, while adults paid $5.00 per ticket.  Last night’s show brought in $1050.

Write a system of equations for the problem.

Answers

9514 1404 393

Answer:

s + a = 2503s + 5a = 1050

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...

  s + a = 250 . . . . . . total of tickets sold

  3s +5a = 1050 . . . dollar value of tickets sold

_____

The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.

This is due in 6 minutes please help

Answers

Answer:

f(x)=-2x^2+32x-114

Step-by-step explanation:

Answer:

f(x) = -2x^2 + 142

Step-by-step explanation:

f(x) = -2(x - 8)^2 + 14

f(x) = -2(x)^2 - (-2)(-8)^2 + 14

f(x) = -2x^2 - (-2)(64) + 14

f(x) = -2x^2 - (-128) + 14

f(x) = -2x^2 + 128 + 14

f(x) = -2x^2 + 142

which is the distance between the point with the coordinates (-2,3) and the line with the equation 6x-y=-3

Answers

Answer:

I think it is 6x+3=y (y=6x+3)

Please help! i really need help with this! question is below!

Answers

Step-by-step explanation:

Area of the square:

a^2: 4^2=16in^2

Area of the circle:

πr^2: π(4.5)^2= 63.6

Area of white part:

63.6 - 16 = 47.6

Probability of landing on square:

16/63.6 = 0.25

Probability of landing on white part:

63.6/16 = 3.975

Find the missing value here.

Answers

Answer:

The value of x is 6.66

Step-by-step explanation:

For answer refer to the attachment

Related Information :-

There are 4 similarity conditions,

SAS ( side angle side )AAS ( angle angle side )SSS ( side side side )AAA ( angle angle angle)

A. 20 mph
B. 35 mph
C. 70 mph
D. 100 mph

Answers

girl it’s D, i’m kidding i don’t know but what grade are you in this looks easy

The answer is B. 35 mph

Speed is shown as distance/time

If you pick a point, for example 70 miles and divide it by the time which is 2 hours, then you get 35 miles per hour

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