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]
2 years ago
6

Solve the following system of equations using the substitution method.

Mathematics
1 answer:
BartSMP [9]2 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
In the situation, simple interest is calculated yearly. How much interest was earned? (Answers above)
Ket [755]
The simple interest formula<span> allows us to calculate I, which is the </span>interest<span> earned or charged on a loan. According to this </span>formula<span>, the amount of </span>interest<span> is given by I = Prt, where P is the principal, r is the annual </span>interest<span> rate in decimal form, and t is the loan period expressed in years.

I = Prt
I = 5500 (8) (0.025) = 1100  <----second option</span>
3 0
3 years ago
Read 2 more answers
10(2.1q -2) + (7.5q+18)
aliina [53]

Answer:

Simplify the expression.

28.5q−2

Step-by-step explanation:

i think this what you would like

6 0
2 years ago
When StartFraction 2 x squared Over y EndFraction = StartFraction w + 2 Over 4 EndFraction is solved for w, one equation is w =
Andru [333]

Answer:

the first one

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
How to do the fractions
Alenkasestr [34]

you could either multiply straight away or you could simplify right then so that you wouldn't have to it later.

20/5 * 5/2

your answer would be 10 either way

3 0
2 years ago
A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Wednesday. There were 50 more cheeseburgers
Komok [63]
500-250=250 so if there were 50 more cheeseburgers it would be 300 cheeseburgers so they would of have to sold 200 hamburgers on Wednesday to have sold 500 burgers in total do the answer is 200 hamburgers
4 0
3 years ago
Other questions:
  • Two samples of fish from a pond were analyzed. The second sample was taken six months after the first sample.
    11·2 answers
  • How can you use a right angle to decide how to name another angle
    11·1 answer
  • Please help me I can fail math​
    10·1 answer
  • Here are six number cards.
    14·1 answer
  • Complete the table to show a relationship that is a
    6·1 answer
  • What is the image point of (9,5)(9,5) after a translation right 4 units and up 4 units?
    5·1 answer
  • Please help!! this test will bring my grade up
    13·2 answers
  • I am learning to make meme what u think?
    8·2 answers
  • You have a new puppy that is one fifth of the size of your older dog.if your older dog wieghts 25 2/5 pounds how much does your
    9·1 answer
  • Which of the following expressions is a monomial?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!