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Solve the following equation by Trial & Error Method. 

i) x + 3 = 5

ii) y – 2 = 7

iii) a + 4 = 9

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i) x + 3 = 5 

Given equation is x + 3 = 5 

If x = 1, then the value of x + 3 = 1 + 3 = 4 ≠ 5 

If x = 2, then the value of x + 3 = 2 + 3 = 5 = 5 

From the above when x = 2, then both LHS and RHS are equal. 

∴ Solution of the equation x + 3 = 5 is x = 2

ii) y – 2 = 7 

Given equation is y – 2 = 7 

If y = 1, then the value of y – 2 = 1 – 2 = -1 ≠ 7 

If y = 2, then the value of y – 2 = 2 – 2 = 0 ≠ 7 

If y = 3, then the value of y – 2 = 3 – 2 = 1 ≠ 7 

If y = 4, then the value of y – 2 = 4 – 2 = 2 ≠ 7 

If y = 5, then the value of y – 2 = 5 – 2 = 3 ≠ 7 

If y = 6, then the value of y – 2 = 6 – 2 = 4 ≠ 7 

If y = 7, then the value of y – 2 = 7 – 2 = 5 ≠ 7 

If y = 8, then the value of y – 2 = 8 – 2 = 6 ≠ 7 

If y = 9, then the value of y – 2 = 9 – 2 = 7 = 7

From the above when y = 9, the both LHS and RHS are equal. 

Solution of the equation y – 2 = 7 is y = 9

Iii) a + 4 = 9 

Given equation is a + 4 = 9 

If a = 1, then the value of a + 4 = 1 + 4 = 5 ≠ 9 

If a = 2, then the value of a + 4 = 2 + 4 = 6 ≠ 9 

If a = 3, then the value of a + 4 = 3 + 4 = 7 ≠ 9 

If a = 4, then the value of a + 4 = 4 + 4 = 8 ≠ 9 

If a = 5, then the value of a + 4 = 5 + 4 = 9 = 9 

From the above when a = 5, the both LHS and RHS are equal. 

∴ Solution of the equation a + 4 = 9 is a = 5

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