Generating Algebraic Expressions Involving One Or Two Variables
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.
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.