Track quiz
Show on a big screenKeep this table open while you work.
| Idea | How it goes |
|---|---|
| A pair | Two linear equations in two letters. A solution is one value for each. |
| A story becomes one | Name the letters. Write one equation for each fact. Then solve. |
| The three ratios | Unequal first two: one solution. Equal first two, third differs: none. All equal: a whole line. |
| Zoom out | Compare the ratios first. Use the picture to check. Let the algebra decide. |
| New clothes | Clear denominators, open brackets, gather. Multiply every term by the same number that is not 0. The line does not change. |
| Two methods | A letter alone invites substitution. Matching coefficients invite elimination. |
| Two odd endings | A false sentence means the facts clash. 0 = 0 means one fact said twice. |
| Reading it back | Check both equations. Answer the question. Ask if the story allows it. |
| Draw and read | Find two points on each line. Join them. Read where they cross. |
The first line is 2x + 3y = 9. Which second equation gives a parallel line?
A pen costs ₹5 more than a pencil. Let x be the pen and y the pencil. Which equation says that?
What do the ratios say about 3x + 4y = 10 and 6x + 8y = 25?
Two lines look parallel in a small sketch. Their ratios a₁/a₂ and b₁/b₂ are not equal. What is true?
Which is x/3 + y/2 = 4 in the form ax + by + c = 0?
For 2x + 5y = 16 and 2x − y = 4, which move cancels a letter?
Elimination ends on 0 = 7. What does that mean?
x + y = 9 and x − y = 2 are about wins and losses, all whole games. The algebra gives x = 11/2 and y = 7/2. What is the answer?
To draw x + y = 7, you find two points on it. Which two points lie on the line?
Chapter 3 of your NCERT book is done. You can name a pair's verdict from six numbers. You can finish a story in the world it came from.
Next: Quadratic Equations. One letter is squared. One number decides how many real answers exist.
Reveal every answer to finish this lesson.