Question 217068
Hello There,

Equation 3*x+4*y+z=7
Simplifying
3x + 4y + z = 7

Solving
3x + 4y + z = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.
3x + 4y + -4y + z = 7 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 + z = 7 + -4y
3x + z = 7 + -4y

Add '-1z' to each side of the equation.
3x + z + -1z = 7 + -4y + -1z

Combine like terms: z + -1z = 0
3x + 0 = 7 + -4y + -1z
3x = 7 + -4y + -1z

Divide each side by '3'.
x = 2.333333333 + -1.333333333y + -0.3333333333z

Simplifying
x = 2.333333333 + -1.333333333y + -0.3333333333z





Simplifying
2y + z = 3

Solving
2y + z = 3

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1z' to each side of the equation.
2y + z + -1z = 3 + -1z

Combine like terms: z + -1z = 0
2y + 0 = 3 + -1z
2y = 3 + -1z

Divide each side by '2'.
y = 1.5 + -0.5z

Simplifying
y = 1.5 + -0.5z



Simplifying
-5xz + 3y + 8z = -31

Solving
-5xz + 3y + 8z = -31

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.
-5xz + 3y + -3y + 8z = -31 + -3y

Combine like terms: 3y + -3y = 0
-5xz + 0 + 8z = -31 + -3y
-5xz + 8z = -31 + -3y

Add '-8z' to each side of the equation.
-5xz + 8z + -8z = -31 + -3y + -8z

Combine like terms: 8z + -8z = 0
-5xz + 0 = -31 + -3y + -8z
-5xz = -31 + -3y + -8z

Divide each side by '-5z'.
x = 6.2z-1 + 0.6yz-1 + 1.6

Simplifying
x = 6.2z-1 + 0.6yz-1 + 1.6

Reorder the terms:
x = 1.6 + 0.6yz-1 + 6.2z-1



Hope this helps! And is not too complicated!

Delilah R.