Answer:
d is the correct answer from give questions
To solve, we will follow the steps below:
3x+y=11 --------------------------(1)
5x-y=21 ------------------------------(2)
since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)
adding equation (1) and (2) will result;
8x =32
divide both-side of the equation by 8
x = 4
We move on to eliminate x and then solve for y
To eliminate x, we have to make sure the coefficient of the two equations are the same.
We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3
The result will be;
15x + 5y = 55 ----------------------------(3)
15x - 3y =63 --------------------------------(4)
subtract equation (4) from equation(3)
8y = -8
divide both-side of the equation by 8
y = -1
The expression for 7(2+9) IS A(B+C) which is distributive property of addition over multiplication.
Only two arithmetic procedures are subject to the commutative property: Multiplication and Addition
A + B = B + A Which is Commutative property of addition
A.B = B.A, which is a commutative property of multiplication.
Distributive property is A(B+C) =AB+AC
The operation on numbers that are available in brackets can be distributed for each number outside the bracket, according to the distributive property. It is one of the mathematical properties that is used the most. Commutative and associative qualities are the other two important features.
from the given data 7(2+9) =7*2+7*9
=14+63
=77
Now, we can clear that 7(2+9) =7(9+2)
Hence, the expression for commutative property of addition is A(B+C) = AB+AC.
To learn more about commutative property, visit
brainly.com/question/28387735
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