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# 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

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