3/4z - 1/4z + 3 = 2/4z + 5
3/4z - 1/4z - 2/4z = 5 - 3
2/4z - 2/4z = 2
0 ≠ 2
----------------------------
<span>It has no solution.</span>
Answer:
<u>∠AEB = 72°</u>
Step-by-step explanation:
<u>Finding x</u>
- ∠AEB = ∠DEC (Vertically opposite angles)
- 7x - 5 = 2(4x - 8)
- 7x - 5 = 8x - 16
- 8x - 7x = -5 + 16
- x = 11
<u>Finding ∠AEB</u>
- 7x - 5
- 7(11) - 5
- 77 - 5
- <u>∠AEB = 72°</u>
Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>
I believe your answer is C) Point of intersection.
Hope this helps!
Happy studying!
~Mistermistyeyed.
Answer: 15.9
Step-by-step explanation: