Answer:
a) 24 + 12 = 36
b) 28 + 8 = 36
c) -4 + 4 = 0 or 4 - 4 = 0
Explanation:
To "multiply an equation by a constant" means to "multiply every term in the equation by the constant."
A term is a value that is added or subtracted in an equation or expression.
a)
3 × [8 + 4 = 12]
↓ distributing the multiplication to each term
(3 × 8) + (3 × 4) = (3 × 12)
↓ simplifying the multiplication
24 + 12 = 36
b)
4 × [7 + 2 = 9]
↓ distributing the multiplication to each term
(4 × 7) + (4 × 2) = (4 × 9)
↓ simplifying the multiplication
28 + 8 = 36
c)
We can show the subtraction of equations as the subtraction of like terms on the corresponding side of both equations:
[24 + 12 = 36]
- [28 + 8 = 9]
(24 - 28) + (12 - 8) = (36 - 36)
↓ simplifying the subtraction
-4 + 4 = 0 or 4 - 4 = 0
Note
When both values involved in subtraction are equal, the result is zero.
Likewise, when we are subtracting an equation from another equation when both sides of each equation is the same, the result is:
0 = 0