Question

The product of two integers is -21, the difference is -10, and the sum is 4. What are the two integers

Answer 1

The integers are -3 and 7.

Step-by-step explanation:

Let,

x and y be the integers.

According to given statement;

xy= -21

x-y = -10 Eqn 1

x+y = 4 Eqn 2

$Adding\ Eqn\ 1\ and\ Eqn\ 2\\(x-y)+(x+y)=-10+4\\x-y+x+y=-6\\2x=-6\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{-6}{2}\\x=-3\\Putting\ value\ of\ x\ in\ Eqn\ 2\\-3+y=4\\y+3-3=4+3\\y=7$

The integers are -3 and 7.

Keywords: Integers, Multiplication

Learn more about multiplication at:

• brainly.com/question/3306327
• brainly.com/question/3375830

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