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
dmitriy555 [2]
3 years ago
6

Solve the following system of equations using the substitution method.

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

B

Step-by-step explanation:

First label the equations.

6x +3y= 18 -----(1)

y= -2x +5 -----(2)

subst. (2) into (1):

6x +3(-2x +5)= 18

6x +3(-2x) +3(5)= 18 (expand)

6x -6x +15= 18

15= 18 (simplify)

(reject)

There is no solution.

<u>Further explanation</u><u>:</u>

If I rewrite the first equation into the form of y=mx+c, I would get

6x +3y=18

3y= 18 -6x (bring y term to one side)

y= 6- 2x (÷3 throughout)

y= -2x +6

Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.

You might be interested in
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. The radius of the Earth is 3959 mi.
RoseWind [281]
We are given
height = 3.7 mi
radius = 3959 mi

We are asked for the distance between the man and the horizon
The straight line from the man to the horizon is a tangent line to the surface of the earth
Using Pythagorean theorem
(3.7 + 3959)² = 3959² + d²

Solve for d
d = 171 mi
6 0
3 years ago
Read 2 more answers
How many solutions does this equation have?
kozerog [31]

Hello from MrBillDoesMath!


Answer: infinite solutions


Discussion: I did a double take on this one but  the left hand is

a + 3 + 2a =  3a +3

and the right hand side is

-1 + 3a + 4 = 3a + (4-1) = 3a + 3


The left and right sides of the equation are identical for all "a", i.e. for infinitely many "a" values.


Regards, MrB.







5 0
3 years ago
Read 2 more answers
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Olegator [25]

Answer:3333333333333333Step-by-step explanation:

4 0
3 years ago
What is 8/16 I will give brainlyist
zepelin [54]

Answer:one half

Step-by-step explanation:

3 0
3 years ago
What is the inverse of f(x)=2(x+4)²-5
olchik [2.2K]

I would be <em>2x^{2} +16x+27</em>

3 0
3 years ago
Other questions:
  • What is the value of y? <br><br> y = ___
    10·2 answers
  • What is 10 1/2 as a improper fraction
    8·2 answers
  • Find the 50th term of the sequence 5,-2,-9,-16
    12·1 answer
  • Geometric solids are three-dimensional representations of a figure.<br><br> True<br> False
    6·2 answers
  • What is the answer to 1÷⅔×(-8)×3÷(-½)
    13·2 answers
  • Please help this is due today!
    15·1 answer
  • Someone plz help me on this
    6·1 answer
  • Can someone pls help me with this?
    13·1 answer
  • Find the slope of the given line in the following graph.
    15·1 answer
  • Find the lateral and total surface area of the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!