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
mariarad [96]
2 years ago
15

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

r number. Find the two numbers.
Mathematics
1 answer:
SashulF [63]2 years ago
8 0
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>

x - y = 15

2x + 8 = 3y - 4

We can quickly get a temporary value for x by altering the original equation.

x - y = 15

<em><u>Add y to both sides.</u></em>

x = 15 + y

Now that we have a value of x, we can find the exact value of y.

2(15 + y) + 8 = 3y - 4

<em><u>Distributive property.</u></em>

30 + 2y + 8 = 3y - 4

<em><u>Combine like terms.</u></em>

38 + 2y = 3y - 4

<em><u>Subtract 2y from both sides.</u></em>

38 = y - 4

<em><u>Add 4 to both sides.</u></em>

y = 42

Now that we know the exact value of y, we can plug it back into the original equation.

x - 42 = 15

<em><u>Add 42 to both sides.</u></em>

x = 57

You might be interested in
What is 6y−12=−3x in standard form?
aalyn [17]
3x + 6y = 12.
In standard form.

5 0
2 years ago
Giving brainliest to correct answer!
lisov135 [29]

Answer:

The answer is 1.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Al's Produce Stand sells 8 ears of corn for $2.25. Barbara's Produce Stand sells 12 ears of corn for $3.50. Write two equations,
Gennadij [26K]

Answer:

6n = 1.50

and

13n = 3.12

Step-by-step explanation:

Here in this question, we are interested in writing equations that relate the number of ears of corn sold and the cost.For Al’s produce stand, let the price per corn sold be n

Thus;

6 * n = 1.50

6n = $1.50 •••••••(i)

For the second;

let the price per corn sold be n;

13 * n = $3.12

-> 13n = 3.12 •••••••••(ii)

3 0
2 years ago
Factor the expression shown below completely.
Andrew [12]

I need question for the "factor" problem


7 0
2 years ago
Read 2 more answers
Use distribute property and simplify<br> Help me please​
stellarik [79]

Answer:

104

155

180

Step-by-step explanation:

an easy way is to solve what is in the parenthesis then multiply by the outside number

but if you need to use the distributive property:

1. 4 x (20 - -6)

(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104

2. -5 x (24 - -7)

(-5 x 24) - (-5 x -7) = -120 - 35 = 155

3. 12 x (-30 + 45)

(12 x -30) + (12 x 45) = -360 + 540 = 180

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer quickly MARKING Brainliest
    8·1 answer
  • students in sixth grade class were asked which team was their favorite. the results are shown in the table. find the ratio of st
    10·1 answer
  • Plz help<br> no guessing
    11·1 answer
  • Factor completely 8y^3 + 16y^2
    15·2 answers
  • Please help with question 22. Find a reasonable domain and range for each function. Help Help!! And please explain
    14·1 answer
  • Solomon has $188.He wants to purchase concert tickets fir himself and 5 friends.Each ticket cost $19.Does he have enough money?
    13·1 answer
  • Can someone hlpe with questions A and/or B please
    8·1 answer
  • 7-5p+3q when p=1 and q=7
    10·1 answer
  • Saint Patty's different colored horizontal stripes on a fence post to fence post is 5/6 yard tall and each stripe is 1/18 yd thi
    10·1 answer
  • Which is equivalent to 2(5m)+m? options are 11m, 12m, 5m+2 or 7m+2m
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!