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Chapter 5: Q. 109 (page 612)

In the following exercises, translate to a system of equations and solve.

The sum of two numbers is -26. One number is 12 less than the other. Find the numbers.

Short Answer

Expert verified

The numbers are-19and-7

Step by step solution

01

Step 1. Given Information 

The given data is that the sum of two numbers is -26. One number is 12 less than the other.

02

Step 2. Calculation 

Let us assume that x be the first number and y be the second number.

The sum of two number is -26implies that x+y=-26--(1)

One number is 12 less than the other implies thatx=y-12--(2)

Substitute the value of variable x from equation (2) in equation (1).

x+y=-26y-12+y=-262y=-14y=-7

Find the value of variable x by using the obtained value of y.

x=y-12x=-7-12x=-19

Thus, the required ordered pair is(-19,-7)

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