Answer:
The numbers are 4 and 3
Step-by-step explanation:
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The first integer is 4 and the second integer is -3.
Given
The sum of two integers is 1.
Their difference is 7.
Let the first integer be x and the second integer is y.
The sum of two integers is 1.
[tex]\rm x+y =1[/tex]
Their difference is 7.
[tex]\rm x-y=7[/tex]
On solving both the equations
From equation 2;
[tex]\rm x-y=7\\\\x=7+y[/tex]
Substitute the value of x in equation 1
[tex]\rm x+y = 1\\ \\7+y+y=1\\\\2y = 1-7\\\\2y = -6\\\\y = \dfrac{-6}{2} \\\\y = -3[/tex]
Substitute the value of y in equation 1
[tex]\rm x+y =1 \\\\ x-3=1\\\\x=1+3\\\\x=4[/tex]
Hence, the first integer is 4 and the second integer is -3.
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