Can someone please help me with my open needed question

Solve the system by substitution
-X-y-z= -8
-4+4y+5z =7
2X+2z= 4

from the last:

2X+2z= 4
x+z=4
z = 4-x

from the first:
-X-y-z= -8
z = 8-x-y

so 4-x = 8-x-y
y = 4

from the 2nd:
-4+4y+5z =7
-4 + 16 + 5z = 7
5z = -5
z = -1
then in z = 4-x
-1 = 4-x
x = 5

x=5, y=4, z=-1

Oh reiny this was such a big help you have no idea thank you so much

Sure, I can help you solve the system of equations step-by-step using the substitution method.

Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve the first equation for x:
-x - y - z = -8
x = -8 + y + z

Step 2: Substitute the expression for x in the other two equations.
Substitute x = -8 + y + z in the second equation:
-4 + 4y + 5z = 7

Substitute x = -8 + y + z in the third equation:
2(-8 + y + z) + 2z = 4

Step 3: Simplify and solve the resulting equations.
Simplify the second equation:
-4 + 4y + 5z = 7
4y + 5z = 7 + 4
4y + 5z = 11

Simplify the third equation:
2(-8 + y + z) + 2z = 4
-16 + 2y + 2z + 2z = 4
-16 + 2y + 4z = 4

Step 4: Solve one equation for one variable.
Let's solve the second equation for y:
4y = 11 - 5z
y = (11 - 5z)/4

Step 5: Substitute the expression for y into the third equation.
Substitute y = (11 - 5z)/4 in the third equation:
-16 + 2[(11 - 5z)/4] + 4z = 4

Simplify and solve for z:
-16 + (22 - 10z)/2 + 4z = 4
Multiply everything by 2 to remove the fraction:
-32 + 22 - 10z + 8z = 8
-10z + 8z = 8 - 22 + 32
-2z = 18
z = -9

Step 6: Substitute the value of z back into the equation you solved for y.
From y = (11 - 5z)/4, substitute z = -9:
y = (11 - 5(-9))/4
y = (11 + 45)/4
y = 56/4
y = 14

Step 7: Substitute the values of y and z into the equation you solved for x.
From x = -8 + y + z, substitute y = 14 and z = -9:
x = -8 + 14 + (-9)
x = -8 + 14 - 9
x = -3

Therefore, the solution to the system of equations is x = -3, y = 14, and z = -9.

Yes, I can help you solve the system of equations by substitution. Here's a step-by-step explanation of how to do it:

1. Start with the first equation: -X - y - z = -8.
Solve this equation for X: X = -8 + y + z.

2. Substitute the expression for X obtained in step 1 into the other equations:

-4 + 4y + 5z = 7, and
2(-8 + y + z) + 2z = 4.

3. Simplify the expressions and solve for y and z:

-4 + 4y + 5z = 7, and
-16 + 2y + 2z + 2z = 4.

4. Solve the second equation for y:

2y = 20 - 4z,
y = 10 - 2z.

5. Substitute the expression for y obtained in step 4 into the first equation:

-4 + 4(10 - 2z) + 5z = 7.

6. Simplify the equation:

-4 + 40 - 8z + 5z = 7,
36 - 3z = 7.

7. Solve for z:

36 - 7 = 3z,
29 = 3z,
z = 29/3.

8. Substitute the value of z into the expression for y obtained in step 4:

y = 10 - 2(29/3),
y = 10 - 58/3,
y = 30/3 - 58/3,
y = -28/3.

9. Substitute the values of y and z obtained in steps 7 and 8 into the expression for X obtained in step 1:

X = -8 + (-28/3) + (29/3),
X = -24/3 - 28/3 + 29/3,
X = -23/3.

Therefore, the solution to the system of equations is X = -23/3, y = -28/3, and z = 29/3.