Question

2y+z=8-x
2x+3z=y+9
3x+4y=z+8

Answer 1

The solution to the system of equations is x = -3, y = 2, and z = 4.

Step-by-step explanation:

The given system of equations is as follows:

`\[2y + z = 8 - x\]`

`\[2x + 3z = y + 9\]`

`\[3x + 4y = z + 8\]`

Using the substitution method:

1. Start by solving the first equation for x:
`\[x = 8 - 2y - z\]`

2. Substitute this expression for x into the second and third equations.

3. Simplify the resulting equations, combining like terms.

4. Solve for y and z, obtaining y = 2 and z = 4.

5. Substitute these values back into the expression for x, yielding x = -3.

Therefore, the solution to the system of equations is x = -3, y = 2, and z = 4.

Complete Question:

Solve the system of equations:

`\[2y + z = 8 - x\]`

`\[2x + 3z = y + 9\]`

`\[3x + 4y = z + 8\]`