Question

Which method would be the simplest way to solve the system?

7x+5y=19
-7x-2y=-16

A) graphing
B) substitution
C) elimination
D) distributive

Answer 1

It would be elimination (C) because 7x and -7x can be eliminated into 0.

7x + 5y = 19
-7x - 2y = -16
3y = 3
3 3
y = 1
7x + 5y = 19
7(1) + 5y = 19
7 + 5y = 19
- 7 - 7
5y = 12
5 5
y = 2.4
(x, y) = (1, 2.4)

Answer 2

elimination method
7x+5y=19
-7x-2y=-16
just add them x is eliminated
3y=3
y=1
7(1)+5y=19
5y=19-7
y=12/5