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
Helen [10]
3 years ago
7

the sum of two numbers is 18. twice the first number increased by three times the second number equals 40. find the numbers

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

4 and 14

Step-by-step explanation:

:the sum of two numbers is 18" can be written as

 x + y = 18               let x represent the first number, and y the second

"twice the first number increased by three times the second number equals 40" can be written as

2x + 3y = 40

Now solve this system. Using elimination will probably be the easier method...

1.   x +  y = 18

2.  2x + 3y = 40

Multiply equation 1 by -2 so the x variable will be the opposite of the x variable on equation 2.

1.  -2x - 2y = -36

2.  2x  + 3y = 40

Now add the equations together, cancelling out 'x'

y  = 4     ( 2x + (-2x) = 0, so 'x' is gone, 3y + (-2y) = y, 40 + (-36) = 4)

Since y = 4, plug that into either equation 1 or 2 and solve for x

1.  x + 4 = 18     (y becomes 4)

     x = 14        (subtract 4 on both sides to isolate 'x')

You might be interested in
A rectangle and an equilateral triangle have the same perimeter
PtichkaEL [24]

Answer:

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

4 0
1 year ago
WILL MARK BRANLIEST IF GOTTEN RIGHT
Mamont248 [21]

Answer:

The last choice. The red one

Step-by-step explanation:

I'm just guessing at this point. But, by the looks of it, red does seem like it would be correct. Again, this is just a guess. So, if it's wrong I'm so sorry. Have a lovely day.

3 0
2 years ago
Help me I really need this rn
Andrews [41]

Answer:

the answer is 9 please I hope i get it right

6 0
2 years ago
I have multiple questions:<br> 1: 2/3÷4/5<br> 2: 2 1/9÷2/3<br> 3: 3/5÷1 1/4
Setler79 [48]

Answer:

1: 5/6

2: 3 1/6

3: 12/25

hope this helps!!

p.s

    comment if wrong

8 0
3 years ago
Someone please help!!
rewona [7]

Answer:

Option 2: (1,0) is the correct answer

Step-by-step explanation:

Given inequality is:

y>-5x+3

In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.

Putting (0,3) in inequality

3 > -5(0)+3\\3>0+3\\3>3

Putting (1,0) in inequality

0>-5(1)+3\\0>-5+3\\0>-2

Putting (-3,1) in inequality

1 > -5(-3)+1\\1> 15+1\\1>16

Putting (-1,-2) in inequality

-2>-5(-1)+3\\-2>5+3\\-2>8

The inequality is true for (1,0)

Hence,

Option 2: (1,0) is the correct answer

4 0
3 years ago
Other questions:
  • Need help plz. Algebra 1<br> Y = 3X^2
    13·1 answer
  • Don't get any of these
    11·1 answer
  • Ten times the sum of half a number and 6 is 8
    15·1 answer
  • How to find the inter quartile range of these <br><br> 1,1,1,2,2,3,3,4,5
    15·1 answer
  • In 6n + 8, n is best described as
    5·1 answer
  • The radius of each wheel of a car is... Please answer quickly
    12·2 answers
  • Please help and don't answer just for points and please don't get anything wrong bless your heart and ill give you points, brain
    9·1 answer
  • What is the first step in solving for w in the equation 3W + 5 = 14?
    5·1 answer
  • I NEED HELP!!<br> Select correct answer
    14·2 answers
  • how did you find the domain and range of function using ordered pairs mapping diagram,graph,table and equation/rule? Explain​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!