Respuesta :

x+y=9     x=9-y
solve for x     
x-y=5   so substitute x by 9-y
9-y-y=5
9-2y=5 isolate 
9-2y-9=5-9
-2y=-4 divide both sides by -2
-2y/-2=-4/-2
y=2 and x=9-2=7
check for x+y=9
               7+2=9 
check for x-y=5
                7-2=5      so x=7 and y=2 

            
Lanuel

The values of the two integers are 7 and 2 respectively.

  • Let the two integers be a and b respectively.

In this exercise, you're required to determine two integers from the given word problem.

Thus, we would write a mathematical (algebraic expression) for the sentence.

Translating the word problem into an algebraic expression, we have;

The sum of two integers is 9;

[tex]a + b =9[/tex]    ....equation 1.

The difference between the two integers is 5;

[tex]a - b = 5[/tex]    equation 2.

Solving the systems of linear equations by using the elimination method, we have:

[tex]2a = 14[/tex]

Dividing both sides by 2, we have:

[tex]a = \frac{14}{2}[/tex]

a = 7

To find the value of y:

[tex]a + b =9\\\\7 +b=9\\\\b =9-7[/tex]

b = 2  

Find more information: https://brainly.com/question/4728821

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