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High School Mathematics10.10 Solving Equations

 Example: Solve, x + y = 7 and x - y = 3. Solution: Given that, x + y = 7 ---------(I) x - y = 3 ---------(II) Adding both equations, we get (x + y = 7) + (x - y = 3) x + y + x - y = 7 + 3 2x = 10 x = 10/2 x = 5 Substituting x value in equation (I) or (II) we get the value of y. x + y = 7 5 + y = 7 y = 7 - 5 y = 2 Therefore, the solution set is (5,2). Directions: Solve the following questions. Also write at least 10 examples of your own.
 Q 1: Solve, 1/x + 3/y = 7 and 3/x + 4/y = 11.(1/2,2)(1/2,1)(1,1/2)(2,1/2) Q 2: Solve, x + 3y = 10 and 3x + 2y = 9.(2,5)(5,2)(1,3)(3,1) Q 3: Solve, 5x + 2y = 24 and x + 3y = 10.(5,3)(2,4)(4,2)(3,5) Q 4: Solve, x + y = 24 and x - y = 10.(7,17)(8,7)(17,7)(7,8) Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!