Parallel lines and transversals

Subject
Topic
Level
Highschool
11

### Recommended Lesson Subject
Topic
Level
Highschool
10
Lesson Steps:

solved

see worksheet Level: Highschool
Subject: Math
Topic: Solver

### Recommended Lesson Subject
Topic
Level
Highschool
12

X eq 3

Y eq 9

Z eq -6

# Steps

1. X-2Y-3Z eq 3
2. 3X plus Y plus Z eq 12
3. 3X plus Y plus Z eq 15

2-3   3Y plus 5Z eq -(3)...(4)

Now (1) x 3  -3

(3x-3x) - (6y-2y) - (9z-4z) eq

(9-15)

-4y-5z eq -6

4y plus 5z eq 6........(5)

(4)-(5)

(3y-4y) plus (5z-5z) eq -3-6

-(y) eq -(9)

y eq 9 .............(6)

Put (6) in (4)

(3x 9) plus 5z eq -3

5z eq (-3-27) eq -30

Z eq (-30/5) eq -6......(7)

Put (6) & (7) in (1)

X eq 3 plus 2(9) plus 3(-6)

X eq 3plus 18 -18 eq 3

Hence

X eq 3

Y eq 9

Z eq -6 ### Recommended Lesson

• Solve x (x-3)(x+2)=0
Subject
Topic
Level
Highschool
12

X eq 0

X eq 3

X eq -(2)

# Steps

The product of three quantities eq 0.

Means either onen of them is zero or all of them are zero.

X eq 0

(X-3) eq 0

X eq. 3

Or (X plus 2) eq 0

X eq -(2)