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
Mashutka [201]
2 years ago
10

Use substitution to solve the following system of equations. - 4y - 5x = 30 AND x= y + 3

Mathematics
1 answer:
IRISSAK [1]2 years ago
3 0

Answer:

The solution to the system of equations is y = -5 and x = -2.

Step-by-step explanation:

The question tells us to use substitution to solve the system.  This means that the given value for x (in terms of y) should be substituted into the other equation.  This is modeled below:

-4y - 5x = 30

-4y - 5(y+3) = 30

Next, we should use the distributive property to simplify the left side of the equation.

-4y -5y - 15 = 30

The next step is to combine like terms on the left side of the equation.

-9y - 15 = 30

Then, we can add 15 to both sides of the equation.

-9y = 45

Finally, we can divide both sides of the equation by -9.

y = -5

To find the value for x, we substitute in the value we just found for y into either of our original equations.

x = y + 3

x = -5 + 3

x = -2

Therefore, the correct answer is y = -5 and x = -2.

Hope this helps!

You might be interested in
Cindy won the lottery, and she gave her family $1.000.00 less than of her winnings. If the jackpot was worth $35.000.00, how muc
Leviafan [203]
That would be $34.000.000 since it’s just subtracting ( less than ) the main number minus the number she didn’t give away.
7 0
2 years ago
If N = 34, what is 7 - N?
Gre4nikov [31]
7 - N       (replace N with 34)

7 - 34

- 27


The answer is - 27
4 0
3 years ago
How would i solve 15=x+7
lakkis [162]

Answer:

15-7=8

Step-by-step explanation:

you will have to use inverse operation

8 0
2 years ago
Read 2 more answers
Snow is piling outside Cameron's house. He decides to measure the rate at which the height of the pile increases over time.
Delvig [45]

Answer:

D.) liters per minute

Step-by-step explanation:

When measuring S. I units, the major things considered are whether the units are vector (magnitude and direction) or scalar quantity (magnitude only).

Why the answer is D is because if you consider the units in the other options, you quickly discover that they are not an accurate description of the above scenario.

Meter per hour has to do with acceleration, which is a vector quantity as its the rate of change of speed over time. It has nothing to do with the gathering of snow over time.

The correct answer is D litres per minute because it has to do with the cube length over time.

3 0
3 years ago
WHAT is 31 minus -1 I need it quick please!
solong [7]

Answer:

32

Step-by-step explanation:

31 - -1 the two negatives make a positive, making it 31 + 1

7 0
2 years ago
Read 2 more answers
Other questions:
  • A customer service representative earns 13 an hour and he works 52 hours a week what is his weekly wage
    6·2 answers
  • An astronaut visited Mars. His weight on Earth was 180 pounds, and his weight on Mars was only 72 pounds. He removed a rock with
    15·1 answer
  • 11) A recipe for cookies calls
    15·1 answer
  • Write 6,219 in expanded<br> form.
    9·2 answers
  • May somebody help me please
    13·1 answer
  • I need help with this
    15·1 answer
  • Which of the following represents the quotient of the polynomial 6x^3+3x^2-5/3x^2+1​
    14·1 answer
  • What fraction of 9 is 3​
    9·2 answers
  • Eric writes 1/3 of a page in 1/5 of a minute. How much time, in minutes, does it take him to write a full page? Type your answer
    5·2 answers
  • What is the reference angle for 283°?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!