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
lidiya [134]
3 years ago
9

the larger of two numbers is 7 less than three times the smaller number. if the sum of the numbers is 61, find the numbers

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Let X = the large #

    Y = the small #

We have 2 unknowns, therefore we need 2 equations to solve for them:

    X + Y = 61

    X = 3Y - 7

Using the substitution method we get:

    X + Y = 61                original equation

   (3Y - 7) + Y = 61        substituting for X

    4Y - 7 = 61                combine like terms

    4Y - 7 + 7 = 61 + 7    add 7 to both sides

    4Y = 68                     simplify

    4Y/4 = 68/4               divide both sides by 4

    Y = 17                       solve for Y

    X + Y = 61                 original equation

    X + 17 = 61                replace Y with 17

    X + 17 - 17 = 61 - 17  subtract 17 from both sides

    X = 44                        solve for X

Check your answer:

       X + Y = 61          X = 3Y - 7

     44 + 17 = 61        44 = 3(17) - 7

     61 = 61  check!     44 = 51 - 7

                                 44 = 44  check!

Therefore, the larger #(X) = 44 and the smaller #(Y)= 17.

You might be interested in
Colby made a scale model of the Washington Monument. The monument has an actual height of 554 feet. Colby’s model used a scale i
garik1379 [7]

Answer:

500043004030405.3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the ratio then what is the value of the ration?
Alekssandra [29.7K]

Answer:

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

5 0
2 years ago
Job natural peanut butter normally cost four dollars today it’s on sale for $3.60 what is the percentage of the discount
Rzqust [24]
We can make an equation that would help this. X will be the discount rate.
4x=3.60
Now, we need to solve the equation to find what X is.
Let's divide each side by 4.
x=.9
So, we know that the item was sold for 90% of what it was before, meaning that it has a 10% discount.
5 0
3 years ago
What is the slope of the line represented by 5x- 12y = 24
madam [21]

Answer: Slope= 0.833/2.000= 0.417

​

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the g
Sholpan [36]
It would be 3(n-2) is greater than or equal to 5n.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which table represents a direct variation
    5·1 answer
  • Name each term of the polynomial : (–9x^4)+(y^3)–7y+19
    7·1 answer
  • A circular pond is modeled by the equipment x^2+y^2=225. A bridge over the pond is modeled by a segment of the equation x-7y=-75
    15·1 answer
  • What is3 X 5 i need help
    5·2 answers
  • A box of chocolates contains, on average, 24 pieces. If the number of chocolates in each box never varies from the average by mo
    15·2 answers
  • Find the area of the polygon with the given vertices W(0,0), X(0, 3), Y(-3,3), Z(-3,0)
    5·1 answer
  • X+2y=3 <br> 3x-2y=5<br> What is the solution to system of equations?
    11·2 answers
  • The express bus from Dublin to Belfast takes x minutes. The standard bus takes 29 minutes longer. Write down an expression for t
    6·2 answers
  • Which statement is true about whether Z and B are independent events?
    6·1 answer
  • Find the unit rate in miles per hour<br><br> 100 miles per 2 hours
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!