One number is seven less than a second number. Three times the first is three more than four times the second .Find the numbers

x = -28 and y = -21

Step-by-step explanation:

Let two numbers be x and y.

One number is seven less than a second number.

x = y-7

x-y = -7 ...(1)

Three times the first is three more than four times the second.

3x = 4y or

3x-4y =0 ...(2)

Multiplying equation (1) by 3. So,

3x-3y = -21 ...(3)

Subtracting equation (2) from (3).

3x-3y-(3x-4y) = -21

-3y+4y = -21

y = -21

Put the value of y in equation (1).

x-(-21)= -7

x+21=-7

x = -21-7

x = -28

So, the value of x and y are -28 and -21 respectively.

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