problems involving equations

the sum of two numbers is 38. when 8 is added
to twice one of the number, the result is 5 times
the other number. find the number

  1. 👍
  2. 👎
  3. 👁
  1. x+y = 38
    8+2x = 5y

    Now just solve for x and y

    1. 👍
    2. 👎
  2. x+y=38
    8+2x=5y
    8*x=2xy/8
    8x/8=2y/8 8x/8-5y/8=3xy/8
    x+y=38
    2x/8-5y/8
    40x-16y/64=24/1
    40x-16

    1. 👍
    2. 👎
  3. 40x-16y=24/x+y=38
    40x-16y=0
    fom equl
    x=31-y
    substitute eqn3in 2
    40x-16y=0
    40(38-y)-16y
    78y-38=40=16y
    78y-38=40y
    -38=40-78y
    -38y=-78y
    divide both sides by 38
    38y/38=78y/38
    y=2.05

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. mathematics

    the sum of two numbers is 31. 2/3 of one of the numbers added is equal to 5/8 of the other.find the two numbers

  2. math

    What value could be added to 2/15 to make the sum greater than 1/2. A. 1/15 B. 8/30 C. 5/15 D. 8/15 2. Which set of mixed numbers had a difference less than 1? A. 1 2/9,1 1/9 B. 3 4/7,2 1/7 C. 2 4/5,1 1/3 D. 2 7/9,1 1/3 1. A 2. A

  3. math

    A number cube with sides labeled 1 through 6 is rolled two times, and the sum of the numbers that end face up is calculated. What is the probability that the sum of the numbers is 3?

  4. Math/ Number sense

    Use the numbers shown. Make the sum of the numbers across equal the sum of the number down. 7 5 1 9 3

  1. Mathematics

    The sum of two numbers is 21. 3/4 of one of the numbers added to 2/3 of the other number gives the sum of 15. Find the two numbers

  2. Algebra- please help answer

    Ursula wrote the sum of 5.815 plus 6.021 as a sum of two mixed numbers? A. What sum did she write? B. Compare the sum of the mixed numbers to the sum of the decimals? Please help answer ASAP. Thanks

  3. Maths

    The sum of two numbers is 21 .two-thirds of one number is added to three-quarters of the other number to give 15 .find the two numbers,showing clearly your workings.

  4. Math

    Two six-sided dice are rolled at the same time and the numbers showing are observed. Find the following. a. P(sum=6) (1,6), (6,1) 1/36+1/36=2/36 b. P(sum=3) =1/36 c. P(sum is an odd number) 30/36 d. P(the two dice show same

  1. high school (math)

    Match the mathematical expression with its translation. 1. the product of two numbers 2. y divided by x 3. six less than a number is y 4. x subtracted from y 5. the sum of two numbers is six 6. x minus y 7. the sum of x and y 8. x

  2. Geometric progression

    Three numbers whose sum is 15 are in a.p. if 1,4,19 be added to them respectively the resulting number are in g.p find n

  3. math

    Which numbers are included in the set of integers that when added to −4 give a sum of less than zero? Select two answers. a.3 b.7 c.9 d.-2 e.4

  4. Algebra

    Ursula wrote the sum 5.815 +6.021 as a sum of two mixed numbers. part A. What sum did she write? b. Compare the sum of the mixed numbers to the sum of the decimals? Please answer both questions thanks

You can view more similar questions or ask a new question.