the sum of two numbers, one of which is three-quarters of the other, is 49. find the product of the numbers.

588

Step-by-step explanation:

One number is x.

The other number is 3x/4.

Their sum is 49.

x + 3/4x = 49

4x/4 + 3x/4 = 49

7x/4 = 49

x/4 = 7

x = 28

One number, x. is 28.

The other number, 3x/4, is 3/4 × 28 = 21

The product of the number is 28 × 21 = 588

Step-by-step explanation:

the sum of both numbers is 49

one of the numbers is 3/4 of the other

trial and improvement

3*6=18

4*6=24

24+18=40    too small

3*7=21

4*7=28

28+21=49

21*28=588

b.my answer is b.

brainliest

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1