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step1; multiply equation 1 with -1

step2; add equation 1 and equation 2

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

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

-x - z = 5

yes sorry

no what is the next step?

now*

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

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

and you have -x -z = 5

solve these two equations

okay

you get z = 26

x = -31

is y 30?