Respuesta :

texaschic101
x + y = 4...x = 4 - y

2x + 3y = 0
2(4-y) + 3y = 0
8 - 2y + 3y = 0
-2y + 3y = 0 - 8
y = -8

x + y = 4
x - 8 = 4
x = 4 + 8
x = 12

solution is : (12,-8)
JeanaShupp

Answer: x=12 and y=-8

Step-by-step explanation:

The given system of linear equations: [tex]x+y=4..............(1)\\2x+3y=0...............(2)[/tex]

Multiply 2 on both sides in equation (1), we get

[tex]2x+2y=8.......................(3)[/tex]

Using elimination method, eliminate equation (3) from (2), we get

[tex]y=-8[/tex]

When we substitute the value of y in equation (1), we get

[tex]x-8=4\\\\\Rightarrow\ x=8+4=12[/tex]

Hence, the solution of the given system is x=12 and y=-8.

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