TWO-STEP EQUATIONS
Sometimes two or more applications of the Transpose and Apply formula are needed, as the following
Solve 2x + 3 = 13.
We take 3 from both sides of the equation:
this gives 2x = 10. Then you can see that x = 5 is the answer.
To check: 2×5 + 3 = 13 so it is correct.
There are two applications of Transpose and Apply here: First the +3 indicates that we subtract 3 from 13 (to get 10), then the 2x indicates that we divide 10 by 2.
Solve 5x – 4 = 36.
Using the Sutra we add 4 to 36 to get 40,
then 40÷5 = 8,
so x = 8.
Check: 5×8 – 4 = 36. Solve x 7 + 3 = 5.
Here we take 3 from 5 to get 2, then multiply 2 by 7, so x = 14. Solve 2x 3 = 4. Multiply 3 by 4 to get 12, then 12÷2=6,
so x = 6.
Solve x /7 + 3 = 5.
Here we take 3 from 5 to get 2, then multiply 2 by 7, so x = 14.
Solve 2x / 3 = 4.
Multiply 3 by 4 to get 12, then 12÷2=6,
so x = 6
Solve x- 3 /4 = 5.
Because all the left side is divided by 4 we begin by multiplying 5 by 4, then we add 3 to the result giving x = 23.
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