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RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign. Let's take the density equation: and rearrange it. We want to isolate the variable for mass (m).
Rearrange the equation so that the unknown variable is by itself on one side of the equals sign (=) and all the other variables are on the other side. RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign.
Suggested clip Physics Skills — Rearranging Equations — YouTubeYouTubeStart of suggested client of suggested clip Physics Skills — Rearranging Equations — YouTube
Suggested clip Rearrange formulas to isolate specific variables | Linear equations ... YouTubeStart of suggested client of suggested clip Rearrange formulas to isolate specific variables | Linear equations ...
As long as you do the same mathematical operation (e.g. add a constant, subtract a constant, multiply by a constant, and divide by a constant) to both sides of the equation, the equality is still an equality. This includes squaring both sides of the equation or taking the square root of both sides of the equation.
0:24 4:07 Suggested clip Rearranging Equations for GCSE Physics — YouTubeYouTubeStart of suggested client of suggested clip Rearranging Equations for GCSE Physics — YouTube
Rearranging formulae In order to change the subject of, or rearrange, a formula item in the formula need to be arranged so a different variable is the subject. ... In the formula above, the letter is multiplied by. The inverse of multiplying by is dividing by, so divide both sides by to isolate.
1:11 10:55 Suggested clip High School Physics: Kinematic Equations — YouTubeYouTubeStart of suggested client of suggested clip High School Physics: Kinematic Equations — YouTube
Make x the subject of the formula: 4y + 2 = x — 4. X = 4y + 6. Make y the subject of the formula. 2y/5 — 3x = 2. TIP: Remember to put brackets around 2 + 3x because both the 2 and the 3x are being multiplied by 5. Y = 5 + 15x/2. — All it means is get a letter on one side of the equation on its own.
Make x the subject of the formula: 4y + 2 = x — 4. X = 4y + 6. Make y the subject of the formula. 2y/5 — 3x = 2. TIP: Remember to put brackets around 2 + 3x because both the 2 and the 3x are being multiplied by 5. Y = 5 + 15x/2. — All it means is get a letter on one side of the equation on its own.
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