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
luda_lava [24]
3 years ago
5

2y=-x+93×-6y=-15 whats the solution to the system​

Mathematics
2 answers:
liq [111]3 years ago
8 0

Answer:

Step-by-step explanation:

2y = -x +9

3x - 6y = -15

The solution is the value of x and y that will make the two equations true in the same time.

3x-6y = -15;  divide both sides by 3

x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal

x-(-x+9) = -5; open parenthesis

x+x-9 = -5 ; add 9 to both sides  and combine like terms

2x = -5 +9; 2x = 4; divide both sides by 2

x= 2

Substitute x for 2

2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5

Solution is (2, 3.5)

astraxan [27]3 years ago
3 0

Answer:

(2, 7/2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

2y = -x + 9

3x - 6y = -15

<u>Step 2: Rewrite Systems</u>

2y = -x + 9

  1. [Division Property of Equality] Divide 2 on both sides:                                y = -x/2 + 9/2

<u>Step 3: Redefine Systems</u>

y = -x/2 + 9/2

3x - 6y = -15

<u>Step 4: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                3x - 6(-x/2 + 9/2) = -15
  2. Distribute -6:                                                                                                   3x + 3x - 27 = -15
  3. Combine like terms:                                                                                       6x - 27 = -15
  4. [Addition Property of Equality] Add 27 on both sides:                                6x = 12
  5. [Division Property of Equality] Divide 6 on both sides:                                 x = 2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               2y = -x + 9
  2. Substitute in <em>x</em>:                                                                                                2y = -2 + 9
  3. Add:                                                                                                                  2y = 7
  4. [Division Property of Equality] Divide 2 on both sides:                                y = 7/2
You might be interested in
Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?
Temka [501]
0.75 miles per hour I think....
7 0
3 years ago
PLEASE HELP. Prove that the value of the expression: b (36^5−6^9)(38^9−38^8) is divisible by 30 and 37.
pishuonlain [190]

Answer:

Step-by-step explanation:

First factor the second binomial

38^9 - 38^8 = 38^9 (38 - 1 ) = 38^9(37)

So there's your 37. This whole expression is divisible by 37

Now do the first  binomial

36^5 - (36^4)*6

36^4(36 - 6)

36^4(30) and there's your thirty.

That first term is going to cause a bit of trouble showing that 36^4 * 6 = 6^9

6(36^4) = 6(6^2)^4 = 6^1 * 6^8 = 6^9

So this factors into 30*(36^4)*37*38^9

3 0
3 years ago
-0.3535 is it rational or irrational​
creativ13 [48]

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

7 0
3 years ago
Read 2 more answers
Please help me with this question
andrey2020 [161]

Answer:

assuming the squares are 1cm by 1cm

area 7

perimeter 16

Step-by-step explanation:

it just works

7 0
2 years ago
Consider a 7.5%, $145,000, 25-year mortgage loan with 1/2% origination fee, 3/4 of a point, $550 mortgage insurance fee, $360 do
salantis [7]
A) The payment on the loan will be 1071.54, so after 300 payments, you will have repaid $321,462.00

b) Fees deducted from the loan amount for reporting purposes are
• 1/2% origination fee ($725)
• 3/4 point ($1087.50)
• $550 mortgage insurance fee
for a total of $2362.50.
Thus the proceeds of the loan are $142,637.50 and the reportable APR is the interest rate corresponding to the above payment on this amount.
  Reportable APR: about 7.688%

c) The "real" APR would include the effect of the additional fees on the loan proceeds. The escrow amount is not a loan cost, so is not included. These additional fees reduce the proceeds by
  $360 +395 +663 +125 +75 = $1618
so the "real APR" is calculated on proceeds of $141,019.50.
  Real APR: about 7.819%

d) Payments on a 10-year loan of $145,000 are $1721.18 per month. That payment amount on proceeds of $141,019.50 correspond to an interest rate of ...
  Real APR with early payoff: about 8.137%

There are various ways the payoff can be early. This calculation assumes you decide from the start to make payments in the amount that will result in early payoff. You could also pay a "balloon" payment after 10 years. I have not seen a description of how this calculation is made. I've only seen wording that says the "real APR is different if the payoff is early."

____
Several caveats:
• the methods described in your text are the ones you should use for this
• the different value of the final payment has not been figured in any of these calculations
• Here, the fees are deducted from the nominal loan amount. In real life, you will often add the fees to the loan amount so the proceeds are the amount necessary to close the sale on the property. (In other words, you'd make the loan for 148,980.50 so the proceeds were 145,000.)

7 0
3 years ago
Other questions:
  • How do I write the ordered pair that represents yz. Then how do I find the magnitude of yz. Y(14,-23), Z(23,-14)
    10·1 answer
  • HELP 1 QUESTION!! IREADY!!! EXPLAIN!!
    10·1 answer
  • Brainly the owner of a hat store buys a hat for 5.50 he uses a markup rate up 105% what is the sale price of the hat
    15·1 answer
  • There are 250 freshman at Central High School. You survey 50 randomly selected freshman and find that 38 plan to go to the schoo
    15·1 answer
  • Two drivers are 420 miles away from each other when they started moving towards each other. They meet after 4 hours. What is the
    15·1 answer
  • A batter hits a baseball into the air
    7·2 answers
  • mark is working at a restaurant . bread is delivered to the restaurant every third day.meat is delivered to the restaurant every
    13·1 answer
  • What is the probability of rolling a six on a fair die?
    9·1 answer
  • Travis and his three friends ate out at Applebee's. Their bill totaled $72.50. If they left the server a 22%
    5·1 answer
  • Together, Wally and Sam have 20 toy trains. Wally has 8 more trains than Sam. How many trains does each boy have?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!