Solve the system. x − 2y + 3z = 9 Equation 1 y + 3z = 5 Equation 2

Tobias Ali

Tobias Ali

Answered question

2021-09-16

Solve the system.
x − 2y + 3z = 9 Equation 1
y + 3z = 5 Equation 2
z = 2 Equation 3

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2021-09-17Added 104 answers

Step 1
The given system of equations is,
x-2y+3z=9...(1)
y+3z=5...(2)
z=2...(3)
The system is solved using substitution method.
Step 2
Substitute equation (3) in equation (2).
y+3z=5
y+3(2)=5
y+6=5
y=-1...(4)
Therefore, y=-1.
Step 3
Now substitute equation (3) and (4) in equation (1) and solve for x.
x-2y+3z=9
x-2(-1)+3(2)=9
x+2+6=9
x+8=9
x=1
Thus, the obtained values are,
x=1, y=-1, z=2

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