Generating Algebraic Expressions Involving One Or Two Variables

 

About

A system of a linear equation comprises two or more equations and we need to find a common solution to the equations. In a system of linear equations, each equation corresponds with a straight line and common solution is arrived at a point where the two lines intersect.

Demonstration

Solve using the substitution method

y = 2x+4

y = 3x+2

We substitute the y in the top equation with the expression for the second equation:

To determine the y-value, let us substitute x value:

Y = 2x + 4

When we substitute x=2, we get

Y = 2 x 2 +4 = 8

The elimination method requires us to add or subtract the equations in order to eliminate either x or y.