The value of two integers are -4 and -9.
What is system of equation?
A system of equations is a collection of two or more equations with a same set of unknowns. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
Let x and y be the two integers.
The equations are
One integer is 5 more than another integer,
[tex]x = y+5[/tex] --------- (1)
Their sum is -13,
[tex]x+y = -13[/tex] ------- (2)
Now substitute the x value of equation 1 in equation 2,
⇒ [tex](y+5)+y=-13[/tex]
⇒ [tex]2y=-13-5\\[/tex]
⇒ [tex]y=\frac{-18}{2}[/tex]
⇒ [tex]y=-9[/tex]
Now substitute the y value of equation 1,
⇒ [tex]x=-9+5[/tex]
⇒ [tex]x=-4[/tex]
Hence we can conclude that the value of two integers are -4 and -9.
Learn more about system of equations here
brainly.com/question/13760328
#SPJ2
