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
Varvara68 [4.7K]
3 years ago
14

2x+8y = 6 15x + 20y = 15

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

The solution is (0, 3/4)

Step-by-step explanation:

Please copy and share the instructions.  Here they are:  Solve the following system of linear equations.

Both of the equations can be reduced (simplified):

2x+8y = 6            =>  x + 4y = 3

15x + 20y = 15     => 3x + 4y = 3

Let's use the elimination by addition and subtraction method.  Multiply the first equation by -1, obtaining

                                 -x - 4y = -3

Add the second       3x + 4y = 3

equation to the

first.

We get:                       2x = 0.

Thus, x = 0.  Substituting 0 for x in the 1st original equation yields:

2(0) + 8y = 6.  Then y = 6/8, or y = 3/4.

The solution is (0, 3/4).

You might be interested in
Austin is riding his dirt bike at a speed of 350 feet per minute. How many yards would he have traveled in 2.5 hours? (HINT: 3 f
Harrizon [31]

Answer:

17,500 yards

Step-by-step explanation:

Speed of Austin's bike = 350 ft per minute

Given 3 feet in 1 yard

Now converting speed from  ft/min to yard per minute

3 feet equal 1 yard  (dividing both side by 3)

1 feet equals 1/3 yards

350 ft equals 350*1/3 yards

350 ft equals 350/3 yards

speed of bike in yards per minute = 350/3 yards per minute

______________________________________

Time for which bike traveled = 2.5 hour

one hour has 60 minutes

2.5 hour has 60*2.5 minutes

2.5 hour has 150 minutes

Time for which bike traveled in minutes = 150 minutes

________________________________________

formula for distance = speed * time

substituting value of  speed and time in above equation we have

distance =  350/3 * 150 = 17,500 yards

Distance traveled by Austin's bike in 2.5 hours is 17,500 yards.

5 0
2 years ago
9. By how many will the value of the number 26,543 decrease if the 5 is replaced with a 1?
FromTheMoon [43]

The 5 is in the hundreds place so the value of the 5 is 500.

Subtracting 1 from 5 the number becomes 4 ( 5-1 = 4) which would mean the new value would be 400

The answer is b. 400

5 0
2 years ago
After 1 year, $10,000 deposited in a savings account with simple interest had earned
Rus_ich [418]
7%

$10,000 • .07 = $700
4 0
2 years ago
Read 2 more answers
Mr. Yan is competing in a local biathlon, a race which consists of a biking and a running event. The race is a total distance of
Vlada [557]
Total distance - biking distance = running distance
11.42 - 8.7 = 2.72 miles of run
6 0
3 years ago
Read 2 more answers
Jimmy wants a burger. It is $30 but he has a coupon for 10% off. How much does he spend?
zalisa [80]
He spends $27.00 because you multiply the 10% by 30 and subtract the two
4 0
3 years ago
Other questions:
  • How to solve it I'm not very good at math and I want to improve my grades
    12·2 answers
  • How do I find the value of x
    15·2 answers
  • Which of the following points lies on the circle whose center is at the origin and whose radius is 10?
    8·1 answer
  • Rachel invested $15,000 in a nine-year CD giving 8.5% interest, but needed to withdraw $4,000 after two years. If the CD's penal
    12·2 answers
  • Solve for x in the following equation.
    12·1 answer
  • What is the value of m in the equation 1/2 m - 3/4n=16 when n=8
    12·1 answer
  • Create an equation for a line that contains<br> 3<br> the point (2, 2) and has slope m = 2
    12·1 answer
  • Determine the answer to (−3) + (−5) and explain the steps using a number line
    15·1 answer
  • What expression is equal to COS B????
    11·1 answer
  • Please help me I’m begging you
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!