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:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.