Respuesta :

The solution to the system of equation is (3/2, -1/2)

System of equations

Given the following system of equations as shown;

(3x+y=4 .... * 4

2x-4y=5 ..... * 1

_______________

12x+4y=16

2x-4y=5

Add both equations

12x+2x = 16 + 5

14x = 21

x = 3/2

Substitute x = 3/2 into any of the equation to have;

2x-4y=5

2(3/2) - 4y = 5

3 - 4y = 5

-4y = 5 - 3

-4y = 2

y = -1/2

Hence the solution to the system of equation is (3/2, -1/2)

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