- 2 x + 2 y + 3 z = 0 Multiply both sides by - 1
2 x - 2 y - 3 z = 0
- 2 x + 2 y + 3 z = 0
+
2 x + 3 y + 3 z = 5
_________________
5 y + 6 z = 5
2 x - 2 y - 3 z = 0
+
- 2 x - y + z = - 3
__________________
- 3 y - 2 z = - 3 Multiply both sides by 3
- 9 y - 6 z = - 9
- 9 y - 6 z = - 9
+
5 y + 6 z = 5
___________________
- 9 y + 5 y - 6 z + 6 z = - 9 + 5
- 4 y = - 4 Divide both sides by - 4
- 4 y / - 4 = - 4 / - 4
y = 1
Replace this value in equation 5 y + 6 z = 5
5 y + 6 z = 5
5 * 1 + 6 z = 5
5 + 6 z = 5 Subtract 5 to both sides
5 + 6 z - 5 = 5 - 5
6 z = 0 Divide both sides by 6
z = 0
Replace y = 1 and z = 0 in equation 2 x + 3 y + 3 z = 5
2 x + 3 y + 3 z = 5
2 x + 3 * 1 + 3 * 0 = 5
2 x + 3 + 0 = 5
2 x + 3 = 5 Subtract 3 to both sides
2 x + 3 - 3 = 5 - 3
2 x = 2 Divide both sides by 2
x = 1
The solutions are:
x = 1
y = 1
z = 0
Solve the system by elimination
-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5
5 answers
this is correct
Thanks bro
5x+4y=1 3x+4y=-7 elimination
Ok i get everything except why you multiplied both sides by -1 and 3.. like what made you make that decision? why is that what made the equation right?