Question

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

Answer 1

1, -1

Explanation:

Answer 2

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`