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
Butoxors [25]
3 years ago
5

Use the substitution method to solve.

Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

x = 7, y = 6

Step-by-step explanation:

solve for y for the first equation

2x + y = 20

-2x         -2x , eliminate 2x

y = 20-2x

now that we have found y, substitute the y in for the second equation

-5y = -6x + 12

-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5

-100+10x = -6x + 12, we multiplied everything from the parathesis  by -5

+100                 + 100, eliminate -100

10x = -6x + 112

+6x    +6x , eliminate 6x

16x = 112 , solve for x

x = 7

then y = 20 - 2x = 20 - 2*7 = 6

check:

2 * 7 + 6 = 20

20 = 20

-5 * 6 = -6 * 7 + 12

-30 = -42 + 12

-30 = -30

You might be interested in
Julie gives 7 pieces of candy to each of her friends. If Julie gives all of her candy away, which amount of candy could have bee
True [87]
To find the answer to this problem, you just need to figure out which total amount of candy is divisible by 7.

161/7=23
<span>162/7=23.1428571429
</span>145/7=<span>20.7142857143
128/7=</span><span>18.2857142857

Obviously, Julie cannot give a fraction of an amount of candy to someone.  So that rules out that she had 162, 145, or 128 pieces of candy.  

The only amount of candies that Julie could have that is divisible by 7 is 161 candies, which means that 161 is your answer.</span>
5 0
3 years ago
Read 2 more answers
The minibus runs at 16 miles to a gallon of diesel. Diesel costs £1.43 per litre. There are 4.55 litres to a gallon.
melomori [17]

Answer: it will cost £78.0672 to travel the 192 miles to Brighton.

Step-by-step explanation:

The minibus runs at 16 miles to a gallon of diesel. If there are 4.55 litres to a gallon and diesel costs £1.43 per litre, it means that the cost of a gallon of diesel would be

4.55 × 1.43 = £6.5056

This means that the cost of running 16 miles is £6.5056

Therefore, the amount that it will cost to travel the 192 miles to Brighton would be

(192 × 6.5056)/16 = £78.0672

7 0
3 years ago
Summarize the rules for multiplying powers with the same base dividing powers with the same base raising a product to a power an
Mashcka [7]
The rules for multiplying powers with the same base is you are basically doing the pemdas method Please Excuse My Dear Aunt Sally pemdas
3 0
4 years ago
The Unit Circle
Mashcka [7]

Answer:

A. X-coordinate

Step-by-step explanation:

I calculated it logically

8 0
3 years ago
Read 2 more answers
Which set of values for x makes the inequality 12 - x &lt; 7 true?
Mila [183]

Answer:

D.  6, 7

Step-by-step explanation:

12 - x < 7

-x < -5  

(whenever you multiply or divide an inequality by a negative you must switch the inequality symbol)

x > 5

8 0
3 years ago
Other questions:
  • 4 batches of punch each batch has 16 fluid oz lemon juice and 4 pints of orange juice if each serving is 1 cup how many servings
    7·1 answer
  • What is 1.04 as a percent
    13·2 answers
  • I need the answers to 2 3 5 6 8 9 I need the answers to them
    5·1 answer
  • A psychologist wants to know if the difficulty of a task influences our estimate of how long we spend working at it. She designs
    6·1 answer
  • 13. Describe the number of solutions for the equation. (1 point)
    10·1 answer
  • Jackie's Diner sold 15 milkshakes last week. 12 of the milkshakes had whipped cream on top. What percentage of the milkshakes ha
    13·1 answer
  • Calculate the amount of money​ you'll have at the end of the indicated time​ period, assuming that you earn simple interest. You
    5·1 answer
  • McKenna earns $12 per hour mowing her grandmother yard.
    15·1 answer
  • Trong mặt phẳng tọa độ, viết chương trình đường tròn (C') là ảnh của (C): x^2 +y^2 -2x+4y=0
    12·1 answer
  • Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your an
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!