Solving First Degree Equations with Two Unknowns
Online calculator and solbing procedure for two equations with two unknowns.
First degree equations with two unknowns can be expressed as
a _{ 1 } x + b _{ 1 } y = c _{ 1 } (1)
a _{ 2 } x + b _{ 2 } y = c _{ 2 } (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.
Related Topics

Mathematics
Mathematical rules and laws  numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents

Algebraic Expressions
Principal algebraic expressions formulas. 
Circles within a Rectangle  Calculator
Calculate the maximum number of circles within a rectangle  can be used to calculate the numbers of pipes or wires in a conduit or similar. 
Discrete Data Sets and their Mean, Median and Mode Values
Calculate the arithmetic mean, median and modal values from discrete data sets. 
Numbers  Square, Cube, Square Root and Cubic Root Calculator
Calculate square, cube, square root and cubic root. Values tabulated for numbers ranging 1 to 100. 
Numbers  Standard Form, Scientific and Engineering Notation
The difference between standard, scientific and engineering number notation. 
Prime Numbers
Prime numbers up to 1000. 
Smaller Circles within a Large Circle  Calculator
Calculate the number of small circles that fits into an outer larger circle  ex. how many pipes or wires fits into a larger pipe or conduit. 
Solving Equations of the First Degree with One Unknown
Equations with one unknown. 
Solving Quadratic Equation with One Unknown
How to solve a quadratic equation.