Solve the system by elimination. SHOW WORK-2X + 2Y + 3Z=0-2X - Y + Z=-32X +3Y +3Z=5
Question
Answer:
1. -2x + 2y + 3z = 0Steps
First, subtract + 2y + 3z from both sides
-2x + 2y + 3z - (2y + 3z) = 0 - (2y + 3z)
Simplify
-2x = -3z - 2y
Then, divide both sides by -2
-2x/-2 = -3z/-2 -Β 2y/-2
Then, simplify
x = - -3z - 2y/2
2. -2x - y + z = -3
Steps
First, subtract -y + z from both sides
-2x - y + z - (-y + z) = -3 - (-y + z)
Simplify,
-2x = -3 + y - z
Then, divide both sides by -2
-2x/ -2 = - 3/-2 + y/-2 - z/-2
Simplify,
x = - -3 + y - z/2
3. 2x + 3y + 3z = 5
Steps
First, subtract + 3y + 3z from both sides
2x + 3y + 3z - (3y + 3z) = 5 - (3y + 3z)
Simplify,Β
2x = 5 - 3y - 3z
Then, divide both sides by 2
2x/2 = 5/2 - 3y/2 - 3z/2
Then, simplify
x = 5 - 3y - 3z/2
solved
general
10 months ago
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