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

Assessment: WAEC SSCE - General Mathematics - 2007 (Objective) Subject: General Mathematics

Question 1 Report

Solve the simultaneous equation: x+y=2 and 3x-2y=1
Answer Details
To solve this system of simultaneous equations, we need to find the values of x and y that satisfy both equations at the same time. One way to do this is to use the method of substitution. From the first equation, we have x + y = 2, which we can rearrange as x = 2 - y. We can then substitute this expression for x into the second equation, giving 3(2-y) - 2y = 1. Simplifying the left-hand side, we get 6 - 5y = 1, and solving for y, we find y = 1. We can then substitute this value for y into either equation to find x. Using the first equation, we get x + 1 = 2, so x = 1. Therefore, the solution to the simultaneous equations is x = 1 and y = 1.
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