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
Elodia [21]
2 years ago
9

Solve the system of equations by graphing: 2x + 3y = 2 6x + 18y = 9

Mathematics
1 answer:
cluponka [151]2 years ago
7 0
The answer is  A: x=1/2 , y= 1/3

Solve the following system:
{2 x + 3 y = 2 | (equation 1)
{6 x + 18 y = 9 | (equation 2)

Swap equation 1 with equation 2:
{6 x + 18 y = 9 | (equation 1)
{2 x + 3 y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{6 x + 18 y = 9 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Divide equation 1 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Multiply equation 2 by -1:
{2 x + 6 y = 3 | (equation 1)
{0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x+y = 1/3 | (equation 2)

Subtract 6 × (equation 2) from equation 1:
{2 x+0 y = 1 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Divide equation 1 by 2:
{x+0 y = 1/2 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Collect results:
Answer:  {x = 1/2, y = 1/3

You might be interested in
Triangle ABC is a right triangle with mC = 90°, m B = 54°, and
rosijanka [135]

Answer:

YES

Step-by-step explanation:

YPU

5 0
2 years ago
NEED ASAP DUE SOON!!!!!!
inna [77]

Hello!

\large\boxed{x^{2} + x - 3 + \frac{4}{2x+3}}

**Process pictured below**

When dividing, find how many times the first time in the divisor (2x + 3) fits into the first time of the dividend (2x³ + 5x² - 3x - 5). In this step, it fits x² times.

Multiply x² by the terms in the divisor and subtract from the dividend. Bring down the next term in the dividend to continue the process.

Repeat this step until you reach the last number. In this case, there was a remainder of 4. In order to write the remainder, you must express it over the divisor which makes it 4 / 2x + 3.

7 0
2 years ago
The present age of father is thrice as old as the age of daughter 5 years ago. If 5 years hence ,the age of father will be twice
pav-90 [236]

Answer:

<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

Step-by-step explanation:

Let the present age of daughter be x

Let the present age of father be y

5 years ago;

Daughter's age = x - 5

Fathers age = y - 5

If the present age of father is thrice as old as the age of daughter 5 years ago, then;

y - 5 = 3(x-5)

y - 5 = 3x-15

y = 3x - 10 .... 1

In 5 years time;

Daughters age = x + 5

Fathers age = y + 5

If the age of father will be twice the age of his daughter in 5 years time then;

y+5 = 2(x+5)

y+5 = 2x + 10

y = 2x + 5 .....2

Equate 1 and 2;

3x - 10 = 2x + 5

3x - 2x = 5 + 10

x = 15

Since y = 2x + 5

y = 2(15) + 5

y = 35

<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

3 0
2 years ago
the amount of money in an account with continuously compounded interest. calculated to the nearest tenth of a year how long it t
pentagon [3]
You will need this formula:
Years = ln (Total / Principal) / rate
(where "ln" means natural logarithm)
and we'll use $100 and $200 for beginning and ending amount
Years = ln (200 / 100) / rate
Years = 0.69314718056 / .052
Years = <span> <span> <span> 13.3297534723 </span> </span> </span>
Rounding to the nearest tenth of a year:
Years = <span> <span> <span> 13.3

Source:
http://www.1728.org/rate2.htm

</span></span></span>

6 0
3 years ago
On a coordinate plane, 5 squares are shown. Square L M N P has points (negative 3, 1), (negative 1, 1), (negative 1, negative 1)
hodyreva [135]

Answer:

the answer is 4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 32 rounded to the nearest hundred
    12·1 answer
  • A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
    9·1 answer
  • An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservation
    5·1 answer
  • HELP ME GRAPH THIS PLEASE IM DUMB I KNOW
    15·1 answer
  • 5. Simplify when a = 4 and b = 3; 2a – 21 ÷ b *
    11·2 answers
  • What is the gradient of the graph shown?
    6·2 answers
  • I NEED HELP WITH THESE TWO QUESTIONS PLEASE!!!!!!! I"LL GIVE THE BRAIN THINGY TOO!!!!
    12·1 answer
  • The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number
    6·2 answers
  • Question 1 (1 point)
    10·2 answers
  • Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 ho
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!