WAEC SSCE - General Mathematics - 2007 (Objective)

Question 1 Report

Solve the simultaneous equations x + y = 2 and 3x - 2y = 1

x = 2 and y = 1

x = 1 and y = 1 Correct answer

x = 1 and y = 2

x = -1 and y = 1

Answer Details

To solve the simultaneous equations x + y = 2 and 3x - 2y = 1, we can use the method of substitution or elimination. Method of Substitution: We can solve for one variable in terms of the other from the first equation and substitute it into the second equation, then solve for the other variable. Let's solve for y in terms of x from the first equation: x + y = 2 y = 2 - x Now substitute y = 2 - x into the second equation: 3x - 2y = 1 3x - 2(2 - x) = 1 3x - 4 + 2x = 1 5x = 5 x = 1 Now substitute x = 1 into either equation to find y: x + y = 2 1 + y = 2 y = 1 Therefore, the solution is x = 1 and y = 1. So, the correct answer is: x = 1 and y = 1.






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