What is the solution to the system of equations graphed below? y = x - 2 y = 4x - 5
There are 3 available methods - Substitution , Elimination and Matrix.
The substitution method is used to eliminate one of the variables by replacement.
The elimination method is used for solving linear systems.
A Matrix is an array of numbers.
Lets use Substitution to solve this system.
\(x-2=4x-5\)
\(-2=4x-5-x\)
\(-2=(4x-x)-5\)
\(-2=3x-5\)
\(-2+5=3x\)
\(3=3x\)
\(3=3x / 3\)
\(x=1\)
Now substitute \(x=1\)
\(y=x-2\)
\(y=1-2\)
\(y=-1\)
Hence - \(x=1
y=-1\)