Question

are there any number pairs that satisfy both constrians. the sum is 12 and the difference is 5 . and is my answer correct

Answer 1

Answer: one number is 8 and the other number is 4.

8 + 4 = 12

8 - 4 = 4

Explanation:

Equation 1: Sum:

x + y = 12

Equation 2: Difference:

x - y = 4

Solution:

x + y = 12

x - y = 4

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Add the two equations together:

2x = 16

Divide both sides by 2:

x = 8

Solve for y:

Use equation 1 substituting for x:

x + y = 12

8 + y = 12

Subtract 8 from both sides:

y = 4

Answer 2

Given

There are a pair of numbers that satisfy both constraints

1) the sum is 12

2) the difference is 5

So, let the numbers are (x) and (y)

From the first constraint ⇒ x + y = 12

From the second constraint ⇒ x - y = 5

So, we can draw the following lines

As shown the point of intersection between the lines = (8.5, 3.5)

So, the answer will be the numbers pair = 3.5 and 8.5