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
Sunny_sXe [5.5K]
3 years ago
9

How do i solve the linear system -14x+15y=15 21x-20y=-10 using elimination

Mathematics
1 answer:
valina [46]3 years ago
4 0
Solve the following system using elimination:
{15 y - 14 x = 15 | (equation 1)
{21 x - 20 y = -10 | (equation 2)

Swap equation 1 with equation 2:
{21 x - 20 y = -10 | (equation 1)
{-(14 x) + 15 y = 15 | (equation 2)

Add 2/3 × (equation 1) to equation 2:
{21 x - 20 y = -10 | (equation 1)
{0 x+(5 y)/3 = 25/3 | (equation 2)

Multiply equation 2 by 3/5:
{21 x - 20 y = -10 | (equation 1)
{0 x+y = 5 | (equation 2)

Add 20 × (equation 2) to equation 1:
{21 x+0 y = 90 | (equation 1)
{0 x+y = 5 | (equation 2)

Divide equation 1 by 21:
{x+0 y = 30/7 | (equation 1)
{0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = 30/7, y = 5
You might be interested in
Help!!!!!!!!!!!!!!!!!!!!!
laila [671]

15 2/6 or 15 1/3 (simplest form) because 3x6+5=23/6 x 4/1 = 92/6 converted to mixed number is 15 1/3

3 0
3 years ago
I need the answer for 90 please its due tommorow!
babunello [35]
Jacqueline is incorrect. 
To find how much trash you can clean in 4 days if you already know how much trash you can clean in one day, multiply 1 2/3 (how much you can clean in one day) by 4. 
Another way to write 1 and 2/3 miles is 5/3 (converting a mixed number to a single fraction). Then, 5/3 x 4 = 20/3. (To multiply fractions, just multiply across, leaving 5 x 4 in the numerator and 4 x 1 in the denominator.)
Jacqueline said you would be able to clean 19/3 miles but you can actually clean 20/3.
4 0
3 years ago
Read 2 more answers
two trains leaves stations 320miles apart at the same time and travel toward eachother. One train travels at 110 miles per hour
I am Lyosha [343]

x/110 = (320-x)/90

<span> Cross multiply</span>

90x = 35200-110x

200x=35200

X = 35200/200 = 176 (distance traveled by train going 110 mph

176/110 = 1.6 hours = 1 hour and 36 minutes

 

Check: 110*1.6 = 176, 90*1.6 = 144

176+144 = 320

it will take 1.6 hours ( 1 hour 36 minutes) for the trains to meet
4 0
3 years ago
Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper’s account balance after seven years?
xz_007 [3.2K]
That would be $868.32
3 0
3 years ago
Read 2 more answers
A child grew 314 inches one year and 434 inches the next year. How many inches did the child grow over the two years?
Nezavi [6.7K]

Answer:

744 inches

Step-by-step explanation:

314 plus 434

3 0
3 years ago
Read 2 more answers
Other questions:
  • The cost of a circus ticket is $8. There are y people in a group who want to go to the circus. Which of the following expression
    10·1 answer
  • What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea
    5·1 answer
  • Ariel has already spent 79 minutes on the phone and she expects to spend 4 more minutes with every phone call she routed. In all
    7·1 answer
  • When a number is decreased by 4.5%, the result is 90. What is the original number to
    6·1 answer
  • If (-6,-38) and (5,28) are two anchor points on the trend line, then find the equation of the line
    9·1 answer
  • Use the given margin of​ error, confidence​ level, and population standard​ deviation, sigma​, to find the minimum sample size r
    13·1 answer
  • 3 12 27 48. what is the rule?​
    7·2 answers
  • The table shows a proportional relationship between the number of meals
    13·1 answer
  • Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Wr
    14·2 answers
  • -
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!