Question

Determine the best method to solve the system of equation.

Then solve the system.

5x + 3y = 16

3x - 5y = -4

Answer 1

x, y) =(2,2)

Explanation:

5x+3y=16 /*5

3x-5y=-4 /*3

25x+15y=80 (1)

9x-15y=-12 (2)

(1)+(2): 34x=68

9x-15y=-12

x=68/34

9x-15y=-12

x=2

9*2-15y=-12

x=2

18-15y=-12

x=2

-15y=-12-18

x=2

-15y=-30

x=2

y=-30/(-15)

x=2

y=2

(x,y)=(2,2)

Answer 2

(x, y) =(2,2)

Explanation:

5x+3y=16 /*5

3x-5y=-4 /*3

25x+15y=80 (1)

9x-15y=-12 (2)

(1)+(2): 34x=68

9x-15y=-12

x=68/34

9x-15y=-12

x=2

9*2-15y=-12

x=2

18-15y=-12

x=2

-15y=-12-18

x=2

-15y=-30

x=2

y=-30/(-15)

x=2

y=2

(x,y)=(2,2)