Question

Consider the system of equations.

−8x+4y=0−8x+7y=6

Which property could be used to write the equation −3y=−6

as the first step to solving the system of equations?

Subtraction Property of Equality
Distributive Property of Equality
Substitution Property of Equality
Division Property of Equality

Answer 1

we know that
The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

that means

if a=b and c=d
a-c=b-d

then
−8x+4y=0----------> equation 1
a=(-8x+4y) b=0

−8x+7y=6----------> equation 2
c=(-8x+7y) d=6

therefore

(-8x+4y)-(-8x+7y)=0-6
-8x+4y+8x-7y=-6
-3y=-6

the answer is the option
Subtraction Property of Equality