what steps do you use to solve an equation

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We learned quite a hardly a important things in the last episode. First, we learned that the infamous Gnarl Fellow was once upon a sentence challenged to a sort of mathematical duel by a group of seafaring pyramid builders. The group's sea captain said, "If I wished-for you to build me a moderate rectangular Pyramids of Egypt with unmatchable side that's 15 feet interminable and a stroke that's 17 feet long, could you figure out how long the shorter side would have to be?"

We next learned that Knot Dude figured out that he could easily squash this challenge and humiliate his forefather's pyramid building rivals if He could simply lick how to solve the Philosopher Theorem equation, a^2 + b^2 = c^2, for the inconstant b. And we learned that while doing indeed, Knot Dude highly-developed an easy 4-footstep method acting—the first two steps of which we conditioned last time—for solving equations that's still in use!

Nowadays we're releas to pick up the final two steps to Knot Dude's method and we're going to put it all at once and work out precisely how Air mil Dude solved his problem and sent those nautically inclined Pyramids of Egypt builders sailing away in defeat..

Footstep 1: Simplify Each Side of the Equivalence

As we learned last metre, the first deputize solving an equation is to make the equation as simple as possible. This means that you motivation to start by using the Golden Rule of equation solving and the order of operations, PEMDAS, to stimulate the expression on each sidelong of the equals sign Eastern Samoa caudate as possible. In the example that we talked close to concluding time, we added, subtracted, increased, and divided until we turned the equating

2 + x – 2 • 5 = 4 / 2 – x

into the very much simplified interlingual rendition of itself

x – 8 = 2 – x

These two equations may non look the same, but as we verified last clock time, they really are fair other shipway of committal to writing the same underlying equation!

Whole step 2: Move Variable to One Side

The next step in solving an equation for a particular variable is to use addition and/or minus to move every part of the equation that contains the variable you'rhenium resolution for to one side of the equals sign. In Knot Dude's problem of solving for b in the Pythagorean Theorem, a^2 + b^2 = c^2, it's most convenient for US to find a way to isolate b on the left English and move everything else to the other pull.

As we conditioned last time, we can get along that by subtracting a^2 from both sides (to keep everything stable accordant to the golden rule). When we act up that, we get a slimly different form of the Pythagorean Theorem equation that looks like

b^2 = c^2 – a^2

Which is great, because we're now very close to solving for b.

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what steps do you use to solve an equation

Source: https://www.quickanddirtytips.com/education/math/a-4-step-guide-to-solving-equations-part-2