If \(5x + 3y=4\) and \(5x-3y= 2\), what is the value of \((25x^2-9y^2)\)?

Assessment: WAEC SSCE - General Mathematics - 2022 (Objective) Subject: General Mathematics

Question 1 Report

If \(5x + 3y=4\) and \(5x-3y= 2\), what is the value of \((25x^2-9y^2)\)?

Answer Details

5x + 3y=4

5x-3y= 2

Using elimination method 

5x + 3y=4 →    5x + 3y=4

-[5x-3y= 2] → -5x +3y= -2

6y = 2 

y → 1/3 and x = 3/5

solving (25x2
 -9y2
)

25 * [3/5]2
 -9 * [1/3]2

25 * 925
 - 9 19

9 - 1 = 8

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