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Pete began solving the system ​ {x+3y=132x−y=−2 ​ by rewriting the system as {x+3y=136x−3y=−6 .


Which property justifies this step?

Aaddition property of equality

Bsubtraction property of equality

Csubstitution property of equality

Dmultiplication property of equality

Verified Answer :

MissPhiladelphia

The answer would be multiplication property of equality. For this property, it states that when you multiply one side of the equation, the other should be multiplied as with the same factor for the equation to be still the same. For this case 3 was multiplied to both.

isyllus

Answer:

Pete used multiplication property of equality

D is correct

Step-by-step explanation:

Pete began solving the system of equation.

x+3y=13

2x-y=-2

Pete re-write the system of equation

x+3y=13

6x-3y=-6

If we see both system of equation.

Equation 1 is same in both case. No change in equation.

Equation 2: 2x-y=-2 changes to 6x-3y=-6

each coefficient of equation changes to 3 times.

So, Pete multiply each term of 2nd equation by 3.

Hence, Pete use multiplication property of equality

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