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First Degree Equation With One Unknown

Reference data and engineering information about first degree equation with one unknown for miscellaneous applications.

firstdegreeequationwith

Overview

Engineering reference data for First Degree Equation With One Unknown in miscellaneous.

Key Formulas

Unit Conversion

y=xky = x \cdot k

Multiply by conversion factor.

Linear Interpolation

y=y1+(xx1)(y2y1)x2x1y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}

Estimate between two known points.

Percentage

p=partwhole×100%p = \frac{\text{part}}{\text{whole}} \times 100\%

Part as fraction of whole.

Variables

SymbolDescriptionUnit
xxInput value
yyOutput value
kkConversion factor

Example

Consider the first degree equation with one unknown:

22x10=12x+2022x - 10 = 12x + 20

To solve, rearrange by moving variable terms to one side and constants to the other:

22x12x=20(10)22x - 12x = 20 - (-10)

Simplify both sides:

(2212)x=30(22 - 12)x = 30

10x=3010x = 30

Divide both sides by 10 to isolate xx:

x=3010=3x = \frac{30}{10} = 3

Thus, the solution is x=3x = 3.

References