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Solving First Degree Equations with Two Unknowns

Online calculator and solbing procedure for two equations with two unknowns.

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First degree equations with two unknowns can be expressed as

a1 x + b1 y = c1                                 (1)

a2 x + b2 y = 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.

x + y =

x + y =

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  • Engineering ToolBox, (2012). Solving First Degree Equations with Two Unknowns. [online] Available at: [Accessed Day Mo. Year].

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