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
kipiarov [429]
3 years ago
12

Solve the system by substitution. y = 2x 3x + 2y = 21

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
6 0
\left \{ {{y=2x} \atop {3x+2y=21}} \right \longrightarrow \left \{ {{y=2x} \atop {3x+2\cdot2x=21}} \right. \longrightarrow \left \{ {{y=2x} \atop {7x=21}} \right.\longrightarrow \left \{ {{y=2x} \atop \boxed{{x=3}}} \right.  \\\\y=2x\longrightarrow y=2\cdot3\longrightarrow \boxed{y=6}
Alexandra [31]3 years ago
6 0
Y=2x;3x+2y=21

Solve y=2x for y

 Substitute (2x) for y in 3x+2y=21

3x+2y=21

3x+22x=21

7x=21 (Simplify)

7x / 7 = 21 / 7(Divide both sides by 7)

x=3

Substitute (3) for x in y=2x:

y=2x

y=(2)(3)

y=6 (Simplified)

y=6 and x=3

You might be interested in
Slope -8 and y intercept 7
max2010maxim [7]

Answer:

The equation of Line is  y = - 8x + 7      

Step-by-step explanation:

Given as :

The slop of line is - 8

And The y intercept is 7

As the equation of line is y = mx + c

For y intercept , x = 0

So, With y intercept and slop ,

7 = (-8)× (0)+ c

Or, c = 7

So the equation of line is

y = mx + c

I.e  y = ( - 8 ) x + 7

Hence The equation of Line is  y = - 8x + 7       Answer

8 0
3 years ago
Please show work!!!!!!!!!!!!
Svetlanka [38]

Answer:

x = 7

Step-by-step explanation:

Notice that in the triangle, the angle is either known or in terms of x. This means we can make an equation: 82 + (9x - 6) + (6x - 1) = 180. Now, add up tthe terms to get 15x + 75 = 180, or 15x = 105 or x = 7.

5 0
4 years ago
Which is more 2 yards or 40 inches
MAVERICK [17]
1 yard = 36 inches
2 yards = 72 inches
Solution: 2 yards is more
3 0
3 years ago
The numbers 1-4 are each written on an index card. The 4 cards are put into a bag and 2 of them are drawn at random. What is the
devlian [24]

Answer:

Step-by-step explanation:

Write a list of all possible outcomes

1-2

1-3

1-4

2-1

2-3

2-4

3-1

3-2

3-4

4-1

4-2

4-3

There are 12 possible outcomes. How many of them have totals of 6 or 7

I count 4

So the probability is 4/12 = 1/3, just as you said.

Is there an easier way?

You might be able to get the 12 easier.

You have 4 choices for the first number and 3 for the second.

P(12) = 4*3 = 12

Getting 6 or 7 might be somewhat trickier.

4 and 3 make seven. That gives two ways 4-3 and 3-4

4 and 2 make six. That gives 2 more ways 4-2 and 2-4

That's all that's possible.

answer: 4 ways make success. The total number of ways is 12.

7 0
3 years ago
An airplane is flying at 350 ​km/h in a direction of 349 degrees. Find the westerly and northerly components of its velocity.
Oksi-84 [34.3K]

Answer: 350km/h,349

Step-by-step explanation:Find the exact value using tringometric  identities

5 0
4 years ago
Other questions:
  • Jack is running for city mayor. He stops the first 10 people on the street and asks them what their biggest concern for the city
    10·1 answer
  • Express the first number as a percentage of the second number. 29 pounds of recyclable trash in a barrel of 53 pounds of trash.
    14·1 answer
  • 3+3+3<br> Please Help....
    9·2 answers
  • There were 2 glasses. Each one was 5/6 full of juice. How many juice was there in total
    11·1 answer
  • How many lines of symmetry does this drawing have?<br> A.0 <br> B.1<br> C.2 <br> D.3<br> E.4
    7·1 answer
  • What is the value of x?
    15·2 answers
  • Choose the missing step in the given solution to the inequality -2x-14&gt;-4+3x
    8·2 answers
  • what is the conditional statement, the inverse, converse, and contrapositive of the statement ' Through any three noncollinear p
    13·1 answer
  • A group of forty-eight eight grade students was surveyed to find out much time they spent studying for their final exam and thei
    11·1 answer
  • PLS HELP PLSPLSPLS thank you!!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!