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equations: solve 2 / 5 = x - 3 / 20 for x
- Thread starter dkarolasz
- Start date
Re: equations
Hello, dkarolasz!
Don't let the fractions scare you . . .
Multiply both sides by 20: \(\displaystyle \L\:\sout{20}\,\cdot\frac{x\,-\,2}{\sout{20}} \;=\;\sout{20}^{^4}\,\cdot\,\frac{2}{\not{5}}\)
Then we have: \(\displaystyle \L\:x\,-\,2\:=\:8\;\;\Rightarrow\;\;\fbox{x\:=\:10}\)
Hello, dkarolasz!
Don't let the fractions scare you . . .
Solve for x: \(\displaystyle \L\:\frac{x\,-\,2}{20}\:=\:\frac{2}{5}\)
Multiply both sides by 20: \(\displaystyle \L\:\sout{20}\,\cdot\frac{x\,-\,2}{\sout{20}} \;=\;\sout{20}^{^4}\,\cdot\,\frac{2}{\not{5}}\)
Then we have: \(\displaystyle \L\:x\,-\,2\:=\:8\;\;\Rightarrow\;\;\fbox{x\:=\:10}\)
You can solve this w/out even writing a single thing down.
[1] 2/5 = 40%
Since you have (something/20) it still must equal 40%. Since you multiply the denominator by 4 on [1] to get 20 as the new denominator, the new numerator must also be multiplied by 4. 2 * 4 = 8. Since 10 - 2 = 8, then x must be 10.
[1] 2/5 = 40%
Since you have (something/20) it still must equal 40%. Since you multiply the denominator by 4 on [1] to get 20 as the new denominator, the new numerator must also be multiplied by 4. 2 * 4 = 8. Since 10 - 2 = 8, then x must be 10.