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Solving First Degree Equations with Two Unknowns

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First degree equations with two unknowns can be expressed as

a1 x + b1 y = c1 (1)

a2x + b2y = c2(2)

Example - Two Equations with Two Unknowns

The two equations

3 x + 5 y = 7

4 x - 3 y = 19 <

with the two unknown x and y can be solved by rearranging (1) to

y = (7 - 3 x) / 5

and substituting this expression for y in (2)

4 x - 3 ((7 - 3 x) / 5 ) = 19

- the value for x can then be calculated to

x = 4

By substituting this value for x in expression 1

3 4 + 5 y = 7

- the value for y can be calculated to

y = -1

Online Calculator for Two Equations with Two Unknowns

The calculator below can be used to estimate x and y values for two equations with two unknowns.

+ =

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Equations with one unknown.

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How to solve a quadratic equation.

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SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

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