Question

18.
For which system of equations would elimination be the simplest technique to choose?
(Points : 2)

y = 2x and x + 3y = 5


4x + 3y = 6 and 3y = 5


x + y = 7 and x - y = 12


3x - 2y = 8 and 4x - 5y = 20


19.
Substitution would be the simplest method of solution for which system?
(Points : 2)

5/3 x = 6y and 2x -3y = 8


y = 2x and x + y = 28


3x - 2y =18 and 4x + 5y =60


20.
The sum of two numbers is 110. Their difference is 28. What is the smallest of the two numbers?
(Points : 2)

56


41

Answer 1

Elimination would be simplest for: 3x - 2y = 8 and 4x - 5y = 20

y = 2x and x + 3y = 5 ---> You already have what y equals, so substitution is easier.

4x + 3y = 6 and 3y = 5 ---> You can easily solve for y ( y = 5/3) Therefore, substitution is easier.

x + y = 7 and x - y = 12 ---> There are no coefficients so solving for either x or y would be simple, then you could easily substitute.

Answer 2

O ok thanks :)