Respuesta:
A) y= 2. x= 3
B) y= -3. x=-2
C) y= 2. x= 1
Explicación paso a paso:
a. 3x+2y = 13
2x+3y = 12
2(3x+2y = 13)
-3(2x+3y = 12)
6x+4y = 26
-6x-9y = -36
Se suman las ecuaciones
-5y = -10
y = -10/-5
y = 2
2x+3(2) = 12
2x+6 = 12
2x = 12 -6
x = 6/2
x = 3
b. 2x-5y = 11
-6x+7y = -9
3(2x-5y = 11)
6x-15y = 33
-8y = 24
y = 24/-8
y = -3
2x-5(-3) = 11
2x+15=11
2x = 11-15
x = -4/2
x = -2
c. 2x+y = 4
5x-2y = 1
5(2x+y = 4)
-2(5x-2y = 1)
10x+5y = 20
-10x + 4y = -2
9y = 18
y = 18/9
2x+(2) = 4
2x+2 = 4
2x = 4-2
x = 2/2
x = 1
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Verified answer
Respuesta:
A) y= 2. x= 3
B) y= -3. x=-2
C) y= 2. x= 1
Explicación paso a paso:
a. 3x+2y = 13
2x+3y = 12
2(3x+2y = 13)
-3(2x+3y = 12)
6x+4y = 26
-6x-9y = -36
Se suman las ecuaciones
-5y = -10
y = -10/-5
y = 2
2x+3(2) = 12
2x+6 = 12
2x = 12 -6
x = 6/2
x = 3
b. 2x-5y = 11
-6x+7y = -9
3(2x-5y = 11)
6x-15y = 33
-6x+7y = -9
Se suman las ecuaciones
-8y = 24
y = 24/-8
y = -3
2x-5(-3) = 11
2x+15=11
2x = 11-15
x = -4/2
x = -2
c. 2x+y = 4
5x-2y = 1
5(2x+y = 4)
-2(5x-2y = 1)
10x+5y = 20
-10x + 4y = -2
Se suman las ecuaciones
9y = 18
y = 18/9
y = 2
2x+(2) = 4
2x+2 = 4
2x = 4-2
x = 2/2
x = 1