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Complete each proof using the properties of equality. 11. Given: 17-3(w + 5) = 6(w + 5) - 2w; w = -411.17-3(5+5)=6(W+5) W2.17-30-15= 60 +30 -2W 13.-3W +2 = 4wt304. -7W +2 = 305. -7W = 2816. W= -4

1 Answer

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First expression


17-3(w-5)=6(w+5)-2w

For this expression you have to apply the subtraction property/addition property, this means everithing you add/subtract in one side gives the same result as the operations done in the right side of the = sign.

Second expression


17-3w-15=6w+30-2w

This expression is equal to the first one, except that the terms in the parenthesis were calculated using the distributive propperties of multiplication.

The properties to use are addition/subtraction properties.

Third expression:


-33+2=4w+30

Addition property

Fourth expression


-7w+2=30

Adition propperty

Fifth expression


-7w=28

In this case, since there is only one term on each side, and in the left one the variable is being multiplied by a coefficient, you have to apply the multiplication propperty.

Sixth expression


w=-4

This expression is reflexive, it means, it tells you what the value of the variable is.

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