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
erastovalidia [21]
3 years ago
9

X+3y=2 and y=2x+3 Please explain using substitution method.

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

- X + 3Y = 2  (*)

⇔X = 2 - 3Y  (1)

- Y = 2X + 3   (2)

(1),(2)⇒ Y = 2(2 - 3Y) +3

       ⇔ Y = 4 - 6Y + 3

       ⇔ Y = 1  (**)

(*),(**)⇒ X + 3×1 =2

       ⇔ X = -1

You might be interested in
What is the common difference of 80,60,45,33.75
GenaCL600 [577]

Answer:

The common difference (or common ratio) = 0.75

Step-by-step explanation:

i) let the first term be a_{1} = 80

ii) let the second term be a_{2}  = a_{1} . r = 80 × r = 60      ∴  r = \frac{60}{80} = 0.75

iii) let the third term be     a_{3}  = a_{2} . r = 60 × r = 45      ∴  r = \frac{45}{60} = 0.75

iv) let the fourth term be   a_{4} = a_{3} . r = 45 × r = 33.75   ∴ r = \frac{33.75}{45} = 0.75

Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.

4 0
3 years ago
Which points on the wave are the trough and the crest?
Vlad1618 [11]

Answer:

ok

trough is the y

Crest is W

I put a picture for help

6 0
3 years ago
Which of the following is the equation of a line that passes through the point
sweet-ann [11.9K]
The answer would be b
7 0
3 years ago
Cell phone company A charges $20 per month plus $0.05 per text message. Cell phone company B charges $10 per month plus $0.07 pe
romanna [79]
So for this you need to set the two equations equal to each other. 20+.05x=10+.07x then solve. Subtract .05 from both sides and get 20=10+.02x. Then subtract 10 from the other side and get 10=.02x Isolate x by dividing 10 by .02. This leaves you with the answer of 500 texts. 
6 0
3 years ago
What is the slope of a line perpendicular to the line who’s equation is x-y=5 fully reduce your answer
Yakvenalex [24]

Answer:

-1

Step-by-step explanation:

Use the slope intercept formula(y=mx+b) to find the slope of a line.

First, you will want to put everything into it's proper order, so you will get -y=-x+5.

You cannot have a negative y, so divide everything by -1 and you will get y=x-5.

1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..

The reciprocal of 1 is -1. -1 is the slope of the perpendicular line

6 0
3 years ago
Other questions:
  • Connie keeps her sports card collection in a 54-page book. Each page has 9 slots for cards. Football cards take up the first 18
    5·2 answers
  • Some landlords ask for a special deposit before renting out an apartment.
    11·2 answers
  • Which of the following equations correctly represents a property of image?
    14·1 answer
  • 16. The difference of two numbers is 3 and the
    8·1 answer
  • which of the following could not be the measures of the angles of a triangle? A. 30^o - 120^o -30^o B. 40^o - 40^o - 100^o C. 60
    9·1 answer
  • Wat is equalto√81.√36
    7·1 answer
  • River C is 100 miles longer than River D. If the sum of their lengths is 5,500 miles, what is the length of each river?
    10·1 answer
  • Can someone do this for me? It might be a lot but it would help a bunch.
    5·1 answer
  • Z = 18ba - 6b<br><br> Solve for a
    10·2 answers
  • Check whether the following differential equation is exact or not. If not, then convert it into an exact differential equation.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!