Question

What is the solution to the system of equations graphed below? y = x - 2 y = 4x - 5

Answer 1

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 - $x=1 y=-1$