Respuesta:
1) X=2
Y=3
2) X= - 1
Y= 1
Explicación paso a paso:
1)
X-2y= - 4
3x+y= 9
[tex]3x + y = 9 \\ 3x = 9 - y \\ x = \frac{9 - y}{3} [/tex]
[tex]x - 2y = - 4 \\ \frac{9 - y}{3} - 2y = - 4 \\ \frac{9 - y - 6y}{3} = - 4 \\ \frac{9 - 7y}{3} = - 4 \\ 9 - 7y = - 12 \\ 9 + 12 = 7y \\ 21 = 7y \\ \frac{21}{7} = y \\ 3 = y[/tex]
[tex]x = \frac{9 - y}{3} \\ x = \frac{9 - 3}{3} \\ x = \frac{6}{3} \\ x = 2[/tex]
2)
3x+2y=-1
5x+y=-4
[tex]5x + y = - 4 \\ 5x = - 4 - y \\ x = \frac{ - 4 - y}{5} [/tex]
[tex]3x + 2y = - 1 \\ 3( \frac{ - 4 - y}{5} ) + 2y = - 1 \\ \frac{ - 12 - 3y}{5} + 2y = - 1 \\ \frac{ - 12 - 3y + 10y}{5} = - 1 \\ \frac{ - 12 + 7y}{5} = - 1 \\ - 12 + 7y = - 5 \\ 7y = - 5 + 12 \\ 7y = 7 \\ y = \frac{7}{7} \\ y = 1[/tex]
[tex] x = \frac{ - 4 - y}{5} \\ x = \frac{ - 4 - 1}{5} \\ x = \frac{ - 5}{5} \\ x = - 1[/tex]
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Verified answer
Respuesta:
1) X=2
Y=3
2) X= - 1
Y= 1
Explicación paso a paso:
1)
X-2y= - 4
3x+y= 9
[tex]3x + y = 9 \\ 3x = 9 - y \\ x = \frac{9 - y}{3} [/tex]
[tex]x - 2y = - 4 \\ \frac{9 - y}{3} - 2y = - 4 \\ \frac{9 - y - 6y}{3} = - 4 \\ \frac{9 - 7y}{3} = - 4 \\ 9 - 7y = - 12 \\ 9 + 12 = 7y \\ 21 = 7y \\ \frac{21}{7} = y \\ 3 = y[/tex]
[tex]x = \frac{9 - y}{3} \\ x = \frac{9 - 3}{3} \\ x = \frac{6}{3} \\ x = 2[/tex]
2)
3x+2y=-1
5x+y=-4
[tex]5x + y = - 4 \\ 5x = - 4 - y \\ x = \frac{ - 4 - y}{5} [/tex]
[tex]3x + 2y = - 1 \\ 3( \frac{ - 4 - y}{5} ) + 2y = - 1 \\ \frac{ - 12 - 3y}{5} + 2y = - 1 \\ \frac{ - 12 - 3y + 10y}{5} = - 1 \\ \frac{ - 12 + 7y}{5} = - 1 \\ - 12 + 7y = - 5 \\ 7y = - 5 + 12 \\ 7y = 7 \\ y = \frac{7}{7} \\ y = 1[/tex]
[tex] x = \frac{ - 4 - y}{5} \\ x = \frac{ - 4 - 1}{5} \\ x = \frac{ - 5}{5} \\ x = - 1[/tex]