Describe in your own words how to solve a linear equation using the equality properties?

Answer 1

Solve x + 6 = -3 I want to get the x by itself; that is, I want to get "x" on one side of the "equals" sign, and some number on the other side. Since I want just x on the one side, this means that I don't like the "plus six" that's currently on the same side as the x. Since the 6 is added to the x, I need to subtract to get rid of it. That is, I will need to subtract a 6 from the x in order to "undo" having added a 6 to it. What you would see here is that I've subtracted 6 from both sides, drawn an "equals" bar underneath both sides, and added down: x plus nothing is x, 6 minus 6 is zero, and -3 plus -6 is -9. The solution is the last line of my work: x = -9. You can do the same for inequality but the equal sign is now an inequality, so x + 6 ≤ -3. Use the same process as if the inequality were still the equal sign. You will get the same answer but with the inequality, so the solution is x≤ -9.