Answer:
The answer to your question is x = 2, y = -1, z = 3
Step-by-step explanation:
Data
x + y + z = 4
x - 2y - z = 1
2x - y - 2z = -1
Solve the system of equations
| 1 1 1 |
| 1 -2 - 1 |
Δ = | 2 -1 -2| = (4 - 1 -2) - (-2 + 1 -4) = 1 + 5 = 6
| 1 1 1 |
| 1 -2 -1 |
| 4 1 1 |
| 1 -2 -1 |
Δx = |-1 -1 -2| = (16 - 1 + 1) - (-2 + 4 + 2) = 16 + 4 = 12
| 4 1 1 |
| 1 -2 -1 |
| 1 4 1 |
| 1 1 -1 |
Δy = | 2 - 1 -2 | = (-2 -1 -8) - (-8 + 1 + 2) = -11 - 5 = -6
| 1 4 1 |
| 1 1 -1|
| 1 1 4|
| 1 -2 1|
Δz = | 2 -1 -1| = (2 - 4 + 2) - (-1 -1 -16) = 0 + 18
| 1 1 4|
| 1 -2 1|
Find x, y and z
x = Δx/ Δ = 12/6 = 2
y = Δy/Δ = -6/6 = -1
z = Δz/Δ = 18/6 = 3
Answer:
Yes
Step-by-step explanation:
3 ( x + 1.5 ) - 3
Distribute out the 3 to ( x + 1.5 )
3x + 4.5 - 3
3x + 1.5
Answer:
Step-by-step explanation:
Nothing in the problem statement tells you anything about the directions of lines LK or QT, so you cannot conclude they are parallel. You only know that EV crosses CN and KT at right angles.
EJ ⊥ CN means m∠CJV = 90°, as all angles at the intersection of EJ and CN are 90°.
Answer:
Rewriting 
without an exponent we get 
Step-by-step explanation:
We need to rewrite the following without an exponent.
We need to solve the exponent to find the result.
We know the exponent rule: 
Now using this rule to solve the equation:
So, Rewriting without an exponent we get
Y - y1 = m(x - x1)
y + 7 = (-1/8)(x - 9)
y + 7 = (-1/8)x + 1.125
Subtract 7 from both sides
y = -1/8x - 5.875
