What is the solution to this system of linear equations? 3x – 2y = 14 5x + y = 32 (3, 5) (6, 2) (8, –1) (14, –18)

Optoin (2) is correct.

(6, 2) is the solution to this system of linear equations.

Step-by-step explanation:

Given :The system of linear equations as

3x – 2y = 14

5x + y = 32

We have to find the solution of the given system of linear equation.

Consider the given system of linear equations as

3x – 2y = 14  (1)

5x + y = 32  (2)

We will solve the system using Elimination method,

Multiply equation (2) by 2, we get,

10x + 2y = 64  (3)

Now, add equation (1) and (3) , we get,

10x + 2y + (3x - 2y) = 64 + 14

Simplify, we get,

10x + 2y + 3x - 2y = 64 + 14

We get,

13x  = 78

Divide both side by 13 , We get,

x = 6

Now, put x = 6 in (1) , we get,

3(6) – 2y = 14 ⇒ 18 - 2y = 14 ⇒ - 2y = 14 - 18 = -4 ⇒ y = 2

Thus, (6, 2) is the solution to this system of linear equations.

step-by-step explanation:

y=mx+b