Question

solve system of equation:
x+y=-1
y-z=4
2x+y+5z=-38
i need step by step help please?

Answer 1

step1; multiply equation 1 with -1

Answer 2

step2; add equation 1 and equation 2

Answer 3

you'll get an equation in terms of x and z

Answer 4

so my finale for that would be -x-z=4 correct?

Answer 5

@Kanwar245

Answer 6

-x - z = 5

Answer 7

yes sorry

Answer 8

no what is the next step?

Answer 9

now*

Answer 10

also you can rewrite last equation as
2x + 4 + z + 5z = -38

Answer 11

2x + 6z = -42
or x + 2z = 31

Answer 12

and you have -x -z = 5

Answer 13

solve these two equations

Answer 14

okay

Answer 15

you get z = 26

Answer 16

x = -31

Answer 17

is y 30?

Answer 18

@Kanwar245

Answer 19

@campbell_st

Answer 20

@agent0smith

Answer 21

Assuming Kanwar245 is correct,

z = 26
x = -31

to find y, use these values in one of these equations to find y:
x+y=-1

y-z=4

2x+y+5z=-38



from the first, x+y=-1, so
\[\large y = -1 - x = -1 - (-31) = 30 \].

or use the second, y-z=4, so
\[\large y= 4+z = 4+26 = 30\]

or use the third, 2x+y+5z=-38, so
\[y = -38 -2x -5z = -38 -2(-31)-5(26) = -106\]
This doesn't agree with the other value for y of 30, so it's possible there's a mistake somewhere.