Question

4x-y+3z=2z+2x+y
5x-3z=9
y+x=7
halla la suma de x+y+z

Answer 1

4x-y+3z=2z+2x+y
5x-3z=9
y+x=7

4x - 2x - y - y + 3z - 2z = 0

2x - 2y + z = 0
5x - 3z = 9
y + x = 7

y = 7 - x

3z = 9 - 5x

z = (9 - 5x)/3

2x - 2y + z = 0

2x - 2(7 - x) + (9 - 5x)/3 = 0

2x - 14 + 2x + (9 - 5x)/3 = 0

4x - 14 + (9 - 5x)/3 = 0

mcm = 3

12x - 42 + 9 - 5x = 0

7x - 33 = 0

x = 33/7

y = 7 - x

y = 7 - 33/7

y = 16/7

5x - 3z = 9

-3z = 9 - 5x

z = (5x - 9)/3

z = (5*33/7 - 9)/3

z = (165/7 - 9)/3

z = (102/7)/3

z = 102/21

z = 34/7

x + y + z = 33/7 + 16/7 + 34/7

x + y + z = 83/7

Answer 2

Z=2
x=3
y=4
sumandolos sale 9