Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
a(b+c) = ab+ac
For example,
suppose a=1, b=2, c=3
1(2+3) = 1(2) + 1(3)
5 = 2+3 = 5
- Subtraction property of Equality
if (a=b), then a-c = b-c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a-c = b-c ⇒ 1-3 = 1 - 3 ⇒ -2 = -2
- Addition property of Equality
if (a=b), then a+c = b+c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a+c = b+c ⇒ 1+3 = 1+3 ⇒ 4 = 4
- Multiplicative property of Equality
if (a=b), then a×c = b×c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a×c = b×c ⇒ 1×3 = 1 × 3 ⇒ 3 = 3
- Division property of Equality
if (a=b), then a÷c = b÷c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3 ⇒ 1/3 = 1/3
Let's solve the given equation using the above properties.
5(x+10) = 20 Given
5x+50 = 20 1) Distriburive property ∵ a(b+c) = ab+ac
5x = -30 2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c
x = -6 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c
