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Question 5 (2 points)
Ms. O'Malley wrote this equation on the board and asked, "Is this a true equation?"

x – y = y – x

Lindsey said, "Sometimes it is, and sometimes it isn't."

For each case shown, determine whether this equation is true or false. Check the box if the case is always true.

Question 5 options:

x = 0, y ≠ 0


x = 0, y = 0


x ≠ 0, y ≠ 0


x ≠ 0, y = 0

Sagot :

Answer:

  1. False
  2. True
  3. Maybe
  4. False

Step-by-step explanation:

I. [tex]\[x\text{ }\text{ }y\text{ }=\text{ }y\text{ }\text{ }x\][/tex]

If [tex]\[x\text{ }=\text{ }0,\text{ }y\text{ }\ne \text{ }0\][/tex]

Then, [tex]\[\text{ }\text{ }y\text{ }=\text{ }y\text{ }\][/tex]

The equation is not true for this case.

II. [tex]\[x\text{ }=\text{ }0,\text{ }y\text{ }=\text{ }0\][/tex]

Then, the equation will be satisfied.

III. [tex]\[x\text{ }\ne \text{ }0,\text{ }y\text{ }\ne \text{ }0\][/tex]

In this case the equation may or may not satisfy the condition depending upon the value of x and y.

IV. [tex]\[x\text{ }\ne \text{ }0,\text{ }y\text{ }=\text{ }0\][/tex]

Then, [tex]\[x\text{ }=\text{ }\text{ }x\][/tex]

The equation is not true for this case.

Learn more about equations :

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