Solve the system by substitution, show all steps. -x-y-z=-8 -4+4y+5z=7 2x+2z=4

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

Step-by-step explanation:

1) Solve for x

           2x+2z=4 (Subtract 2z from both sides)

           -2z  -2z

           2x= 4-2z  (Divide 2 from both sides)

           /2      /2

           x=2-z

2) Substitute 2-z for x in

                       -x-y-z=-8

                       -(2-z)-y-z=-8

                       -2+z-y-z=-8  (Combine Like Terms)

                       -2-y=-8 (Add 2 to both sides)

                       +2     +2

                       -y=-6  (Divide -1 from both sides)

                       /-1   /-1

                       y=6

3) Substitute 2-z for x & 6 for y in

                          -4x+4y+5z+=7

                          -4(2-z)+4(6)+5z=7  (Get rid of parentheses)

                          -8+4z+24+5z=7   (Combine Like Terms)

                          9z+16=7  (Subtract 16 from both sides)

                               -16  -16

                          9z+=-9  (Divide 9 from both sides)

                          /9     /9

                          z=-1

4) Now find x by substituting -1 for z in

                                          x=2-z

                                          x=2-(-1)  

                                          x=2+1

                                          x=3  

Therefore the answer is:

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

answer: jasmine will bake 4/3 or 1 1/3 cookies in an hour

step-by-step explanation:

if u add 1/3 every 15 minutes after an hour u will have 4/3 or 1 1/3

1e+27

step-by-step explanation: