Question

Which properties justify the steps taken to solve the system?

{2x−4y=18
{3x+3y=0

Drag and drop the answers into the boxes to match each step.

Answer 1

Multiplication Property of Equality
Subtraction Property of Equality
Division Property of Equality
Substitution Property of Equality
Simplify
Subtraction Property of Equality
Division Property of Equality

Answer 2

Answer and Step-by-step explanation:

Since we have given that

$2x-4y=18\\\\3x+3y=0$

We need to mention the properties for the given steps:

$6x-12=54\\\\6x+6y=0$

1) Multiplication property of equality

$-18y=54$

2) Addition property of equality

$y=-3$

3) Division property of equality

$2x-4(-3)=18$

4) Substitution property of equality

2x+12=18

5) Simplify

2x=6

6) Subtraction property of equality

x=3

7) Division property of equality