Question

The sum of two integers is 7 and their difference is 23.

Answer 1

15 and -8

Explanation:

`x,y-the\ integers\\\\\underline{+\left\{\begin{array}{ccc}x+y=7\\x-y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=30\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=15}\\\\\text{Put the value of x to the first equation}\\\\15+y=7\qquad\text{subtract 15 from both sides}\\\boxed{y=-8}`

`Check:\\\\15+(-8)=15-8=7\\\\15-(-8)=15+8=23`

Answer 2

x = 15, y = -8

Explanation:

Call the integers x and y.

then you have x + y = 7 and x - y = 23.

Add them together.

2x = 30. This means x = 15, and y = -8.