Which method would be the simplest way to solve the system?
7x + 5y = 19 and -7x - 2y = -16
Graphing
Substitution
Elimination
Distributive

Solution:

Given set of equations

Let 7x + 5y = 19 --- (a)

and -7x - 2y = -16 --- (b)

Now add eq(b) and eq(a), we get

⇒ (7x + 5y) + (-7x - 2y) = 19 + (-16)

⇒ 3y = 3

⇒ y = 1

Put y = 1in either equations, we get

⇒ 7x + 5(1) = 19

⇒ 7x + 5 = 19

⇒ 7x = 19 - 5 = 14

⇒ x = 14/7

⇒ x = 2

Therefore, the solution set (x, y) is (2, 1)

Hence, the elimination method is the simplest way to solve the given equations.

Which method would be the simplest way to solve the system?
7x + 5y = 19 and -7x - 2y = -16

Summary :

By Elimination method, it would be simple to solve the system of equations 7x + 5y = 19 and -7x - 2y = -16