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
Please explain 10-15. Thank you
Reptile [31]
5 because 15 -10 is 5
4 0
3 years ago
Read 2 more answers
Solve #1 pls, I need to find the shortest side, median side, and longest side
Lisa [10]

Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

~

8 0
3 years ago
the cat is a high speed catamaran auto ferry that operates between City A and City B. The cat can make the trip in 1 1/2 hours a
malfutka [58]
City A and City B are about 76.5 miles apart because 51*1.5 = 76.5
3 0
3 years ago
Box and whisker box plot
Rainbow [258]
I think it is negatively skewed
7 0
3 years ago
Read 2 more answers
A baseball team has $1,400 to buy baseball uniforms. Each uniform costs $124. Does the team have enough money to buy 11 baseball
seraphim [82]
The uniforms will cost 1,360, so yes they have enough money to buy 11 uniforms. 
Hope this helps.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please hurry need help!!
    9·2 answers
  • PLZ HELP WILL GIVE BRAINIEST 20 POINTS!!!!!
    14·1 answer
  • Evaluate 3(2a-4/b^2) for a = 4 and b = 3.
    14·2 answers
  • What number must be squared in order to complete the pattern. 49,64,81,100​
    5·1 answer
  • What times what =13?
    8·2 answers
  • With which information can you construct a unique rhombus?
    10·2 answers
  • 2(x – 9) = 10x + 11<br> Help
    15·2 answers
  • Pleaseeeee helppp!!!!!!!!
    13·1 answer
  • Please help <br> don’t give any fake links pls
    14·1 answer
  • When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapo
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!