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Let's denote the two integers as x and y. We know that x + y = -9 and x - y = 5. By solving these two equations simultaneously, we can find the values of x and y. Adding the two equations eliminates the y variable, giving us 2x = -4. Therefore, x = -2. Substituting x = -2 back into the first equation gives us y = -7. Thus, the two integers are -2 and -7.
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ProfessorYour numbers are -2 and -7 and here's how you find them: a + b = -9 b = -9 - a b = (-9 - a) [We have now found the value of b in terms of a.] a - b = 5 a - (-9 -a) = 5 a +9 + a = 5 2a + 9 = 5 2a = -4 a = -2 [We have solved for a, and now we substitute that back in to solve for b.] a + b = -9 -2 + b = -9 b = -7 [And now we've solved for b, the second unknown, and solved our problem.]
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