Question

Determine the solution, if it exists, for each system of linear equations step by step.

a.

(3x + 2y = 6
(13x + 2y = 3

b.

(6x+2y = 8
(3x - y = -2

Answer 1

A. x = -3/10 , y = 69/20

B. x = 1/2 , y = 5/2

Explanation:

A]

3x + 2y = 6......eq1

13x + 2y = 3.......eq2

From eq 2 - eq 1

10x = -3

x = -3/10

So,

3x + 2y = 6

3(-3/10) + 2y = 6

y = 69/20

B]

6x+2y = 8.....eq1

3x - y = -2.....eq2

eq2 x 2 and add in 1

12x = 6

x = 1/2

So,

6x+2y = 8

y = 5/2