Question

For what values of a, if any, will the following system of equations in x,y and z have a
solution? 2x + 3y = 4: x + y + x = 4: x + 2y – z= a
​

Answer 1

Step-by-step explanation:

2x + 3y = 4 ........................(1)

x + y + z = 4 .....................(2)

x + 2y – z = a ...................(3)

add (2) and (3),

x + y + z + x + 2y – z = 4 + a

2x + 3y = 4 + a ..................(4)

from (1) and (4),

value of a must be 0 otherwise no solution..

Answer 2

Answer:

2-z=a

a=2-z

Step-by-step explanation:

2x+3y=4

2x+y=4

2y=0

y=o

x=2

2+0-z=a