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

2 Answers

7 votes

Answer:

1, -1

Explanation:

What is the solution to the system of equations graphed below? y = x - 2 y = 4x - 5-example-1
User Darrell Teague
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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