The quotient of two numbers is (4)/(3) The first number is 26 more than the second number. Let x represent the first number and y represent the second number.​

Question

The quotient of two numbers is


`(4)/(3)`
The first number is 26 more than the second number. Let x represent the first number and y represent the second number.​

Answer 1

x = - 104, y = - 130

Explanation:

the quotient of the 2 numbers is

`(x+26)/(x)` =
`(4)/(5)` ( cross- multiply )

5(x + 26) = 4x

5x + 130 = 4x ( subtract 4x from both sides )

x + 130 = 0 ( subtract 130 from both sides )

x = - 130

First number is - 130 + 26 = - 104

second number is - 130