## Solve the system by substitution -x-y-z=-8 -4x+4y+5z=7 2x+2z=4 show the work

Question

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## Answers ( No )

ANSWEREXPLANATIONWe the have the equations,

Multiplying through by negative one gives,

Also

and

Dividing through by 2 gives

Making z the subject gives,

Now we substitute equation (3) into equation (1) and (2)

Equation (3) in to equation (1) gives,

This implies that;

We now put equation (3) in (2) to get,

This implies that

But

So,

Dividing through by negative 9 gives

and

Therefore