Question

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Write four solutions for each of the following equations:
(i) 2x + y = 7
(ii) πx + y = 9
(iii) x = 4y


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Answer 1

AnSwEr-(i)

For x = 0,

For x = 0,2(0) + y = 7

For x = 0,2(0) + y = 7→ y = 7

For x = 0,2(0) + y = 7→ y = 7Therefore,(0,7) is a solution of this equation.

• For x = 1,

• 2(1) + y = 7

• → y = 5

Therefore (1,5) is a solution of this equation.

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ANSWER-(ii)

• πx + y = 9 (Given)

• Solution 1: When x = 0

• when x = 0π(0) + y = 9

• when x = 0π(0) + y = 9y = 9

The solution is (0, 9)

• The solution is (9/π, 0)

Answer: The two possible solution is (0, 9) and (9/π, 0)

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AnSwEr-(iii)

Given equation – x=4y

Now put y = 0 will get

• x=4(0) x=0

∴ (0,0) is one solution

Now put y = 1 will get

• x=4(1) x=4

∴ (4,1) is second solution

Now put y = 2 will get

• x=4(2) x=8

∴ (8,2) is third solution

Now put y = 3 will get

• x=4(3) x=12

∴ (12,3) is fourth solution

Hence (0,0),(4,1),(8,2),(12,3) are the four solution

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Answer 2

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A precipitation reaction refers to the formation of an insoluble salt when two solutions containing soluble salts are combined. The insoluble salt that falls out of solution is known as the precipitate, hence the reaction's name. Precipitation reactions can help determine the presence of various ions in solution.

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