1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sattari [20]
3 years ago
12

X+y=3 x=6-4y using substitution

Mathematics
2 answers:
kupik [55]3 years ago
7 0

Hi there!

<u><em>FACT</em></u><em> :</em>

<em>The method of solving "by substitution" works by solving one of the equations for one of the variables, and then plugging this back into the other equation, "substituing" for the variable and solving for the other.</em>

<u>STEPS TO ANSWER :</u>

x + y = 3

x = <u>6 - 4y</u>


1.

Replace the "x" in the first equation with : 6 - 4y

And then solve the equation by isolating "y".

<u>6</u> - 4y + y = 3

Subtract 6 from each side of the equation → 3 - 6 = -3

<u>-4y + y</u> = -3

Add similar terms together → -4y + y = -3y

<u>-3</u>y = -3

Divide each side of the equation by -3 → -3 ÷ -3 = 1

y = 1


2.

Now that you have the value of "y", it's time to plug its value back into the other equation and solve this equation for "x" :

x = 6 - 4y

y = 1

Replace the "y" in the first equation by : 1

And then solve the equation by isolating "x".

x = 6 <u>- 4(1)</u>

→ -4 × 1 = -4

x = <u>6 - 4</u>

→ 6 - 4 = 2

x = 2


Answer : The solution pair of coordinates is : (2 ; 1).


There you go! I really hope this helped, if there's anything just let me know! :)

kenny6666 [7]3 years ago
4 0

Givens

x + y = 3

x =6 - 4y

Solution

Use the top equation to substitute for x in the second equation.

x = 3 - y

Put this result into the second given equation and solve for y

3 - y = 6 - 4y        Add 4y to both sides.

3 - y + 4y = 6       Combine on the left

3 + 3y = 6            Subtract 3 from both sides

3 - 3 + 3y = 6 - 3  Combine

3y = 3                   Divide by 3

3y/3 = 3/3             Combine

y = 1                      

=========================

x + y = 3               but y = 1

x + 1 = 3                Subtract 1 from both sides.

x + 1 - 1 =3 - 1

x = 2

Answer

x = 2

y = 1

You might be interested in
You are constructing a tangent line from a point outside a given circle to the circle is to draw a circle and a point outside th
Alja [10]
I think its C I am not sure hope it helps 

6 0
3 years ago
Read 2 more answers
A circle circumference is 600 M. what is the good approximation of the circle area​
wlad13 [49]

Answer:

The area of the circle is 28662 M².

Step-by-step explanation:

Given:

Circumference of circle = 600 M.

Now, to find the area of the circle.

So, <em>to get the area we need to find the radius.</em>

By putting the formula of circumference we get the radius:

Let the radius be r.

Circumference = 2πr

600 = 2\times 3.14\times r (taking the value of π = 3.14.)

600=6.28r

Dividing both sides by 6.28 we get:

95.54=r

Now, <em>for getting the area we put the formula:</em>

Area = πr²

Area = 3.14\times 95.54^{2}

Area = 3.14\times 9127.89

Area = 28661.57

So, <u><em>approximately the area of  the circle = 28662 M²</em></u>.

Therefore, the area of the circle is 28662 M².

4 0
3 years ago
I cant remember plz help me
anygoal [31]

Answer:

I believe the answer is B. Angle-Angle-Side

Step-by-step explanation:

3 0
3 years ago
For what value(s) of k is the trinomial x² + kx - 24 factorable?
Elza [17]

Answer:

.......................

4 0
3 years ago
Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a
shtirl [24]

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

==============

5 * 4 * 3 * 2 * 1

792

7 0
3 years ago
Other questions:
  • List five numbers that have 3, 5, and 7 as prime numbers
    7·1 answer
  • Someone help me asap​
    13·2 answers
  • What property is =x+2-2
    8·1 answer
  • In triangle RST, RS=10, RT=15, and measurement R=32. In triangle UVW, Uv==12, UW=18, and measurement U=32. Are the polygons simi
    7·2 answers
  • A satellite travels 29 1/2 miles every 4 1/3<br>seconds. What is its unit rate of speed?​
    11·1 answer
  • List all the factors of 16
    7·2 answers
  • A company receives $198, of which $13 is for sales tax. The journal entry to record the sale would include a
    12·1 answer
  • PLZ!!! HELP. Blake has traveled 65% of the distance to his grandpearents house. he traveled 26 miles. how many total miles will
    14·2 answers
  • Need this done by today! 2-2-2021
    10·2 answers
  • A. Find a power function that models the data below.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!