1.

Solve for x and y: 2x + 3y + 1 = 0 (7 − 4x)/ 3 = y

Answer»

The given equations are: 

(7 − 4x)/ 3 = y 

⇒ 4x + 3y = 7 ……..(i) 

and 2x + 3y + 1 = 0 

⇒2x + 3y = -1 ……….(ii) 

On subtracting (ii) from (i), we get: 

2x = 8 

⇒x = 4 

On substituting x = 4 in (i), we get: 

16x + 3y = 7 

⇒3y = (7 – 16) = -9 

⇒y = -3 

Hence, the solution is x = 4 and y = -3.


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